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Rudolf E. Kálmán - Wikipedia
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class="vector-toc-numb">2</span> <span>Work</span> </div> </a> <ul id="toc-Work-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Awards_and_honors" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Awards_and_honors"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Awards and honors</span> </div> </a> <ul id="toc-Awards_and_honors-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-See_also" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#See_also"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>See also</span> </div> </a> <ul id="toc-See_also-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Selected_publications" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Selected_publications"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Selected publications</span> </div> </a> <ul id="toc-Selected_publications-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-See_also_2" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#See_also_2"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>See also</span> </div> </a> <ul id="toc-See_also_2-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-References" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#References"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>References</span> </div> </a> <ul id="toc-References-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-External_links" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#External_links"> <div class="vector-toc-text"> <span class="vector-toc-numb">8</span> <span>External links</span> </div> </a> <ul id="toc-External_links-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Contents" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Toggle the table of contents" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon 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Kálmán</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Go to an article in another language. Available in 31 languages" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-31" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">31 languages</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%B1%D9%88%D8%AF%D9%88%D9%84%D9%81_%D9%83%D8%A7%D9%84%D9%85%D8%A7%D9%86" title="رودولف كالمان – Arabic" lang="ar" hreflang="ar" data-title="رودولف كالمان" data-language-autonym="العربية" data-language-local-name="Arabic" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-azb mw-list-item"><a href="https://azb.wikipedia.org/wiki/%D8%B1%D9%88%D8%AF%D9%84%D9%81_%D8%A6%DB%8C_%DA%A9%D8%A7%D9%84%D9%85%D9%86" title="رودلف ئی کالمن – South Azerbaijani" lang="azb" hreflang="azb" data-title="رودلف ئی کالمن" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%B0%E0%A7%81%E0%A6%A1%E0%A6%B2%E0%A6%AB_%E0%A6%8F%E0%A6%AE%E0%A6%BF%E0%A6%B2_%E0%A6%95%E0%A6%BE%E0%A6%B2%E0%A6%AE%E0%A7%8D%E0%A6%AF%E0%A6%BE%E0%A6%A8" title="রুডলফ এমিল কালম্যান – Bangla" lang="bn" hreflang="bn" data-title="রুডলফ এমিল কালম্যান" data-language-autonym="বাংলা" data-language-local-name="Bangla" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Rudolf_Kalman" title="Rudolf Kalman – Catalan" lang="ca" hreflang="ca" data-title="Rudolf Kalman" data-language-autonym="Català" data-language-local-name="Catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Rudolf_Emil_K%C3%A1lm%C3%A1n" title="Rudolf Emil Kálmán – Czech" lang="cs" hreflang="cs" data-title="Rudolf Emil Kálmán" data-language-autonym="Čeština" data-language-local-name="Czech" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Rudolf_K%C3%A1lm%C3%A1n" title="Rudolf Kálmán – German" lang="de" hreflang="de" data-title="Rudolf Kálmán" data-language-autonym="Deutsch" data-language-local-name="German" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Rudolf_E._Kalman" title="Rudolf E. Kalman – Spanish" lang="es" hreflang="es" data-title="Rudolf E. Kalman" data-language-autonym="Español" data-language-local-name="Spanish" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Rudolf_Emil_K%C3%A1lm%C3%A1n" title="Rudolf Emil Kálmán – Esperanto" lang="eo" hreflang="eo" data-title="Rudolf Emil Kálmán" data-language-autonym="Esperanto" data-language-local-name="Esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%B1%D9%88%D8%AF%D9%84%D9%81_%D8%A6%DB%8C_%DA%A9%D8%A7%D9%84%D9%85%D9%86" title="رودلف ئی کالمن – Persian" lang="fa" hreflang="fa" data-title="رودلف ئی کالمن" data-language-autonym="فارسی" data-language-local-name="Persian" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Rudolf_Kalman" title="Rudolf Kalman – French" lang="fr" hreflang="fr" data-title="Rudolf Kalman" data-language-autonym="Français" data-language-local-name="French" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%B0%E0%A5%81%E0%A4%A6%E0%A4%BE%E0%A4%B2%E0%A5%8D%E0%A4%AB_%E0%A4%8F%E0%A4%AE%E0%A4%BF%E0%A4%B2_%E0%A4%95%E0%A4%BE%E0%A4%B2%E0%A4%AE%E0%A4%BE%E0%A4%A8" title="रुदाल्फ एमिल कालमान – Hindi" lang="hi" hreflang="hi" data-title="रुदाल्फ एमिल कालमान" data-language-autonym="हिन्दी" data-language-local-name="Hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Rudolf_Emil_K%C3%A1lm%C3%A1n" title="Rudolf Emil Kálmán – Italian" lang="it" hreflang="it" data-title="Rudolf Emil Kálmán" data-language-autonym="Italiano" data-language-local-name="Italian" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%A8%D7%95%D7%93%D7%95%D7%9C%D7%A3_%D7%A7%D7%9C%D7%9E%D7%9F" title="רודולף קלמן – Hebrew" lang="he" hreflang="he" data-title="רודולף קלמן" data-language-autonym="עברית" data-language-local-name="Hebrew" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Rudolphus_K%C3%A1lm%C3%A1n" title="Rudolphus Kálmán – Latin" lang="la" hreflang="la" data-title="Rudolphus Kálmán" data-language-autonym="Latina" data-language-local-name="Latin" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/K%C3%A1lm%C3%A1n_Rudolf_Emil" title="Kálmán Rudolf Emil – Hungarian" lang="hu" hreflang="hu" data-title="Kálmán Rudolf Emil" data-language-autonym="Magyar" data-language-local-name="Hungarian" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-mg mw-list-item"><a href="https://mg.wikipedia.org/wiki/Rudolf_Kalman" title="Rudolf Kalman – Malagasy" lang="mg" hreflang="mg" data-title="Rudolf Kalman" data-language-autonym="Malagasy" data-language-local-name="Malagasy" class="interlanguage-link-target"><span>Malagasy</span></a></li><li class="interlanguage-link interwiki-arz mw-list-item"><a href="https://arz.wikipedia.org/wiki/%D8%B1%D9%88%D8%AF%D9%88%D9%84%D9%81_%D9%83%D8%A7%D9%84%D9%85%D8%A7%D9%86" title="رودولف كالمان – Egyptian Arabic" lang="arz" hreflang="arz" data-title="رودولف كالمان" data-language-autonym="مصرى" data-language-local-name="Egyptian Arabic" class="interlanguage-link-target"><span>مصرى</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Rudolf_Emil_K%C3%A1lm%C3%A1n" title="Rudolf Emil Kálmán – Dutch" lang="nl" hreflang="nl" data-title="Rudolf Emil Kálmán" data-language-autonym="Nederlands" data-language-local-name="Dutch" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%83%AB%E3%83%89%E3%83%AB%E3%83%95%E3%83%BB%E3%82%AB%E3%83%AB%E3%83%9E%E3%83%B3" title="ルドルフ・カルマン – Japanese" lang="ja" hreflang="ja" data-title="ルドルフ・カルマン" data-language-autonym="日本語" data-language-local-name="Japanese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Rudolf_Kalman" title="Rudolf Kalman – Polish" lang="pl" hreflang="pl" data-title="Rudolf Kalman" data-language-autonym="Polski" data-language-local-name="Polish" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Rudolf_Kalman" title="Rudolf Kalman – Portuguese" lang="pt" hreflang="pt" data-title="Rudolf Kalman" data-language-autonym="Português" data-language-local-name="Portuguese" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9A%D0%B0%D0%BB%D1%8C%D0%BC%D0%B0%D0%BD,_%D0%A0%D1%83%D0%B4%D0%BE%D0%BB%D1%8C%D1%84" title="Кальман, Рудольф – Russian" lang="ru" hreflang="ru" data-title="Кальман, Рудольф" data-language-autonym="Русский" data-language-local-name="Russian" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Rudolf_E._K%C3%A1lm%C3%A1n" title="Rudolf E. Kálmán – Simple English" lang="en-simple" hreflang="en-simple" data-title="Rudolf E. Kálmán" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Rudolf_E._K%C3%A1lm%C3%A1n" title="Rudolf E. Kálmán – Slovak" lang="sk" hreflang="sk" data-title="Rudolf E. Kálmán" data-language-autonym="Slovenčina" data-language-local-name="Slovak" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%A0%D1%83%D0%B4%D0%BE%D0%BB%D1%84_%D0%9A%D0%B0%D0%BB%D0%BC%D0%B0%D0%BD" title="Рудолф Калман – Serbian" lang="sr" hreflang="sr" data-title="Рудолф Калман" data-language-autonym="Српски / srpski" data-language-local-name="Serbian" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Rudolf_E._K%C3%A1lm%C3%A1n" title="Rudolf E. Kálmán – Swedish" lang="sv" hreflang="sv" data-title="Rudolf E. Kálmán" data-language-autonym="Svenska" data-language-local-name="Swedish" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%A3%E0%B8%B9%E0%B8%94%E0%B8%AD%E0%B8%A5%E0%B9%8C%E0%B8%9F_%E0%B8%84%E0%B8%B2%E0%B8%A5%E0%B8%A1%E0%B8%B2%E0%B8%99" title="รูดอล์ฟ คาลมาน – Thai" lang="th" hreflang="th" data-title="รูดอล์ฟ คาลมาน" data-language-autonym="ไทย" data-language-local-name="Thai" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Rudolf_Kalman" title="Rudolf Kalman – Turkish" lang="tr" hreflang="tr" data-title="Rudolf Kalman" data-language-autonym="Türkçe" data-language-local-name="Turkish" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%A0%D1%83%D0%B4%D0%BE%D0%BB%D1%8C%D1%84_%D0%9A%D0%B0%D0%BB%D0%BC%D0%B0%D0%BD" title="Рудольф Калман – Ukrainian" lang="uk" hreflang="uk" data-title="Рудольф Калман" data-language-autonym="Українська" data-language-local-name="Ukrainian" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Rudolf_E._K%C3%A1lm%C3%A1n" title="Rudolf E. Kálmán – Vietnamese" lang="vi" hreflang="vi" data-title="Rudolf E. Kálmán" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnamese" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E9%B2%81%E9%81%93%E5%A4%AB%C2%B7%E5%8D%A1%E5%B0%94%E6%9B%BC" title="鲁道夫·卡尔曼 – Chinese" lang="zh" hreflang="zh" data-title="鲁道夫·卡尔曼" data-language-autonym="中文" data-language-local-name="Chinese" class="interlanguage-link-target"><span>中文</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q384687#sitelinks-wikipedia" title="Edit interlanguage links" class="wbc-editpage">Edit links</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Namespaces"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs 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class="mw-content-ltr mw-parser-output" lang="en" dir="ltr"><div class="shortdescription nomobile noexcerpt noprint searchaux" style="display:none">Hungarian-American mathematician (1930–2016)</div> <style data-mw-deduplicate="TemplateStyles:r1236090951">.mw-parser-output .hatnote{font-style:italic}.mw-parser-output div.hatnote{padding-left:1.6em;margin-bottom:0.5em}.mw-parser-output .hatnote i{font-style:normal}.mw-parser-output .hatnote+link+.hatnote{margin-top:-0.5em}@media print{body.ns-0 .mw-parser-output .hatnote{display:none!important}}</style><div role="note" class="hatnote navigation-not-searchable">The native form of this <a href="/wiki/Personal_name" title="Personal name">personal name</a> is <i>Kálmán Rudolf Emil</i>. This article uses <a href="/wiki/Personal_name#Western_name_order" title="Personal name">Western name order</a> when mentioning individuals.</div> <p class="mw-empty-elt"> </p> <style data-mw-deduplicate="TemplateStyles:r1257001546">.mw-parser-output .infobox-subbox{padding:0;border:none;margin:-3px;width:auto;min-width:100%;font-size:100%;clear:none;float:none;background-color:transparent}.mw-parser-output .infobox-3cols-child{margin:auto}.mw-parser-output .infobox .navbar{font-size:100%}@media screen{html.skin-theme-clientpref-night .mw-parser-output .infobox-full-data:not(.notheme)>div:not(.notheme)[style]{background:#1f1f23!important;color:#f8f9fa}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .infobox-full-data:not(.notheme) div:not(.notheme){background:#1f1f23!important;color:#f8f9fa}}@media(min-width:640px){body.skin--responsive .mw-parser-output .infobox-table{display:table!important}body.skin--responsive .mw-parser-output .infobox-table>caption{display:table-caption!important}body.skin--responsive .mw-parser-output .infobox-table>tbody{display:table-row-group}body.skin--responsive .mw-parser-output .infobox-table tr{display:table-row!important}body.skin--responsive .mw-parser-output .infobox-table th,body.skin--responsive .mw-parser-output .infobox-table td{padding-left:inherit;padding-right:inherit}}</style><table class="infobox biography vcard"><tbody><tr><th colspan="2" class="infobox-above" style="font-size:125%;"><div class="fn">Rudolf E. Kálmán</div></th></tr><tr><td colspan="2" class="infobox-image"><span class="mw-default-size" typeof="mw:File/Frameless"><a href="/wiki/File:Rudolf_Kalman.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/ac/Rudolf_Kalman.jpg/220px-Rudolf_Kalman.jpg" decoding="async" width="220" height="206" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/a/ac/Rudolf_Kalman.jpg 1.5x" data-file-width="321" data-file-height="300" /></a></span></td></tr><tr><th scope="row" class="infobox-label">Born</th><td class="infobox-data"><div style="display:inline" class="nickname">Rudolf Emil Kálmán<sup id="cite_ref-NAE_1-0" class="reference"><a href="#cite_note-NAE-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup></div><br />May 19, 1930<br /><div style="display:inline" class="birthplace"><a href="/wiki/Budapest" title="Budapest">Budapest</a>, <a href="/wiki/Kingdom_of_Hungary_(1920%E2%80%931946)" title="Kingdom of Hungary (1920–1946)">Hungary</a></div></td></tr><tr><th scope="row" class="infobox-label">Died</th><td class="infobox-data">July 2, 2016<span style="display:none">(2016-07-02)</span> (aged 86)<sup id="cite_ref-RIP_2-0" class="reference"><a href="#cite_note-RIP-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup><br /><div style="display:inline" class="deathplace"><a href="/wiki/Gainesville,_Florida" title="Gainesville, Florida">Gainesville, Florida</a></div></td></tr><tr><th scope="row" class="infobox-label">Citizenship</th><td class="infobox-data category"><a href="/wiki/Hungary" title="Hungary">Hungary</a><br /><a href="/wiki/United_States_of_America" class="mw-redirect" title="United States of America">United States</a></td></tr><tr><th scope="row" class="infobox-label">Alma mater</th><td class="infobox-data"><a href="/wiki/Massachusetts_Institute_of_Technology" title="Massachusetts Institute of Technology">Massachusetts Institute of Technology</a><br /><a href="/wiki/Columbia_University" title="Columbia University">Columbia University</a></td></tr><tr><th scope="row" class="infobox-label">Known for</th><td class="infobox-data"><a href="/wiki/Kalman_filter" title="Kalman filter">Kalman filter</a><br /><a href="/wiki/Kalman%27s_conjecture" title="Kalman's conjecture">Kalman problem</a><br /><a href="/wiki/Kalman_decomposition" title="Kalman decomposition">Kalman decomposition</a><br /><a href="/wiki/Kalman%E2%80%93Yakubovich%E2%80%93Popov_lemma" title="Kalman–Yakubovich–Popov lemma">Kalman–Yakubovich–Popov lemma</a><br /><a href="/wiki/Observability" title="Observability">Observability</a><br /><a href="/wiki/State-space_representation" title="State-space representation">State-space representation</a></td></tr><tr><th scope="row" class="infobox-label">Awards</th><td class="infobox-data"><a href="/wiki/IEEE_Medal_of_Honor" title="IEEE Medal of Honor">IEEE Medal of Honor</a> <span style="font-size:85%;">(1974)</span><br /><a href="/wiki/Rufus_Oldenburger_Medal" title="Rufus Oldenburger Medal">Rufus Oldenburger Medal</a> <span style="font-size:85%;">(1976)</span><br /><a href="/wiki/Kyoto_Prize" title="Kyoto Prize">Kyoto Prize</a> <span style="font-size:85%;">(1985)</span><br /><a href="/wiki/Richard_E._Bellman_Control_Heritage_Award" title="Richard E. Bellman Control Heritage Award">Richard E. Bellman Control Heritage Award</a> <span style="font-size:85%;">(1997)</span><br /><a href="/wiki/Charles_Stark_Draper_Prize" title="Charles Stark Draper Prize">Charles Stark Draper Prize</a> <span style="font-size:85%;">(2008)</span><br /><a href="/wiki/National_Medal_of_Science" title="National Medal of Science">National Medal of Science</a> <span style="font-size:85%;">(2009)</span></td></tr><tr><td colspan="2" class="infobox-full-data"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1257001546"><b>Scientific career</b></td></tr><tr><th scope="row" class="infobox-label">Fields</th><td class="infobox-data category"><a href="/wiki/Electrical_Engineering" class="mw-redirect" title="Electrical Engineering">Electrical Engineering</a><br /><a href="/wiki/Mathematics" title="Mathematics">Mathematics</a><br />Applied Engineering Systems Theory</td></tr><tr><th scope="row" class="infobox-label">Institutions</th><td class="infobox-data"><a href="/wiki/Stanford_University" title="Stanford University">Stanford University</a><br /><a href="/wiki/University_of_Florida" title="University of Florida">University of Florida</a><br /><a href="/wiki/ETH_Zurich" title="ETH Zurich">Swiss Federal Institute of Technology</a></td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Doctoral_advisor" title="Doctoral advisor">Doctoral advisor</a></th><td class="infobox-data"><a href="/wiki/John_Ragazzini" class="mw-redirect" title="John Ragazzini">John Ragazzini</a></td></tr><tr><th scope="row" class="infobox-label">Doctoral students</th><td class="infobox-data"><style data-mw-deduplicate="TemplateStyles:r1126788409">.mw-parser-output .plainlist ol,.mw-parser-output .plainlist ul{line-height:inherit;list-style:none;margin:0;padding:0}.mw-parser-output .plainlist ol li,.mw-parser-output .plainlist ul li{margin-bottom:0}</style><div class="plainlist"> <ul><li><a href="/wiki/Pramod_P._Khargonekar" title="Pramod P. Khargonekar">Pramod P. Khargonekar</a></li> <li><a href="/wiki/Eduardo_D._Sontag" title="Eduardo D. Sontag">Eduardo D. Sontag</a></li> <li><a href="/wiki/Anthony_Tether" title="Anthony Tether">Anthony Tether</a></li></ul> </div></td></tr><tr style="display:none"><td colspan="2"> </td></tr></tbody></table> <p><b>Rudolf Emil Kálmán</b><sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> (May 19, 1930 – July 2, 2016) was a <a href="/wiki/Hungarian_Americans" title="Hungarian Americans">Hungarian-American</a> <a href="/wiki/Electrical_engineer" class="mw-redirect" title="Electrical engineer">electrical engineer</a>, <a href="/wiki/Mathematician" title="Mathematician">mathematician</a>, and inventor. He is most noted for his co-invention and development of the <a href="/wiki/Kalman_filter" title="Kalman filter">Kalman filter</a>, a mathematical algorithm that is widely used in <a href="/wiki/Signal_processing" title="Signal processing">signal processing</a>, <a href="/wiki/Control_system" title="Control system">control systems</a>, and <a href="/wiki/Guidance,_navigation_and_control" class="mw-redirect" title="Guidance, navigation and control">guidance, navigation and control</a>. For this work, U.S. President <a href="/wiki/Barack_Obama" title="Barack Obama">Barack Obama</a> awarded Kálmán the <a href="/wiki/National_Medal_of_Science" title="National Medal of Science">National Medal of Science</a> on October 7, 2009.<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Life_and_career">Life and career</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Rudolf_E._K%C3%A1lm%C3%A1n&action=edit&section=1" title="Edit section: Life and career"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Rudolf Kálmán was born in <a href="/wiki/Budapest" title="Budapest">Budapest</a>, Hungary, in 1930 to Otto and Ursula Kálmán (née Grundmann). After emigrating to the <a href="/wiki/United_States" title="United States">United States</a> in 1943, he earned his bachelor's degree in 1953 and his master's degree in 1954, both from the <a href="/wiki/Massachusetts_Institute_of_Technology" title="Massachusetts Institute of Technology">Massachusetts Institute of Technology</a>, in <a href="/wiki/Electrical_engineering" title="Electrical engineering">electrical engineering</a>. Kálmán completed his doctorate in 1957 at <a href="/wiki/Columbia_University" title="Columbia University">Columbia University</a> in <a href="/wiki/New_York_City" title="New York City">New York City</a>.<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> </p><p>Kálmán worked as a Research Mathematician at the <a href="/wiki/Research_Institute_for_Advanced_Studies" title="Research Institute for Advanced Studies">Research Institute for Advanced Studies</a> in <a href="/wiki/Baltimore,_Maryland" class="mw-redirect" title="Baltimore, Maryland">Baltimore, Maryland</a>, from 1958 until 1964. He was a professor at <a href="/wiki/Stanford_University" title="Stanford University">Stanford University</a> from 1964 until 1971, and then a Graduate Research Professor and the Director of the Center for Mathematical System Theory, at the <a href="/wiki/University_of_Florida" title="University of Florida">University of Florida</a> from 1971 until 1992. He periodically returned to <a href="/wiki/Fontainebleau" title="Fontainebleau">Fontainebleau</a> from 1969 to 1972 at <a href="/wiki/Mines_ParisTech" class="mw-redirect" title="Mines ParisTech">MINES ParisTech</a> where he served as scientific advisor for Centre de recherches en automatique. Starting in 1973, he also held the chair of Mathematical System Theory at the <a href="/wiki/ETH_Zurich" title="ETH Zurich">Swiss Federal Institute of Technology</a> in <a href="/wiki/Zurich" title="Zurich">Zurich</a>, <a href="/wiki/Switzerland" title="Switzerland">Switzerland</a>. </p><p>Kálmán died on the morning of July 2, 2016, at his home in <a href="/wiki/Gainesville,_Florida" title="Gainesville, Florida">Gainesville, Florida</a>.<sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Work">Work</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Rudolf_E._K%C3%A1lm%C3%A1n&action=edit&section=2" title="Edit section: Work"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Kálmán was an <a href="/wiki/Electrical_engineer" class="mw-redirect" title="Electrical engineer">electrical engineer</a> by his undergraduate and graduate education at <a href="/wiki/Massachusetts_Institute_of_Technology" title="Massachusetts Institute of Technology">MIT</a> and <a href="/wiki/Columbia_University" title="Columbia University">Columbia University</a>, and he was noted for his co-invention of the <a href="/wiki/Kalman_filter" title="Kalman filter">Kalman filter</a> (or Kalman-Bucy Filter), which is a mathematical technique widely used in the <a href="/wiki/Digital_computers" class="mw-redirect" title="Digital computers">digital computers</a> of <a href="/wiki/Control_system" title="Control system">control systems</a>, <a href="/wiki/Navigation" title="Navigation">navigation</a> systems, <a href="/wiki/Avionics" title="Avionics">avionics</a>, and outer-space vehicles to extract a <a href="/wiki/Signal_processing" title="Signal processing">signal</a> from a long <a href="/wiki/Sequence" title="Sequence">sequence</a> of noisy or incomplete measurements, usually those done by electronic and <a href="/wiki/Gyroscope" title="Gyroscope">gyroscopic</a> systems. </p><p>Kálmán's ideas on filtering were initially met with vast skepticism, so much so that he was forced to do the first publication of his results in <a href="/wiki/Mechanical_engineering" title="Mechanical engineering">mechanical engineering</a>, rather than in electrical engineering or systems engineering. Kálmán had more success in presenting his ideas, however, while visiting <a href="/wiki/Stanley_F._Schmidt" title="Stanley F. Schmidt">Stanley F. Schmidt</a> at the <a href="/wiki/NASA_Ames_Research_Center" class="mw-redirect" title="NASA Ames Research Center">NASA Ames Research Center</a> in 1960. This led to the use of Kálmán filters during the <a href="/wiki/Apollo_program" title="Apollo program">Apollo program</a>, and furthermore, in the NASA <a href="/wiki/Space_Shuttle" title="Space Shuttle">Space Shuttle</a>, in Navy <a href="/wiki/Submarine" title="Submarine">submarines</a>, and in unmanned <a href="/wiki/Aerospace" title="Aerospace">aerospace</a> vehicles and weapons, such as <a href="/wiki/Cruise_missile" title="Cruise missile">cruise missiles</a>.<sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> </p><p>Kálmán published several seminal papers during the sixties, which rigorously established what is now known as the <a href="/wiki/State-space_representation" title="State-space representation">state-space representation</a> of dynamical systems. He introduced the formal definition of a system, the notions of <a href="/wiki/Controllability" title="Controllability">controllability</a> and <a href="/wiki/Observability" title="Observability">observability</a>, eventually leading to the <a href="/wiki/Kalman_decomposition" title="Kalman decomposition">Kalman decomposition</a>. Kálmán also gave groundbreaking contributions to the theory of <a href="/wiki/Optimal_control" title="Optimal control">optimal control</a> and provided, in his joint work with J. E. Bertram, a comprehensive and insightful exposure of <a href="/wiki/Stability_theory" title="Stability theory">stability theory</a> for dynamical systems. He also worked with B. L. Ho on the <a href="/wiki/Minimal_realization" title="Minimal realization">minimal realization</a> problem, providing the well known Ho-Kalman algorithm. </p> <div class="mw-heading mw-heading2"><h2 id="Awards_and_honors">Awards and honors</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Rudolf_E._K%C3%A1lm%C3%A1n&action=edit&section=3" title="Edit section: Awards and honors"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Kálmán was a foreign member of the <a href="/wiki/French_Academy_of_Sciences" title="French Academy of Sciences">French</a>, <a href="/wiki/Hungarian_Academy_of_Sciences" title="Hungarian Academy of Sciences">Hungarian</a> and <a href="/wiki/Russian_Academy_of_Sciences" title="Russian Academy of Sciences">Russian Academies of Sciences</a>,<sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> as well as a member of the <a href="/wiki/National_Academy_of_Sciences" title="National Academy of Sciences">National Academy of Sciences</a>, the <a href="/wiki/National_Academy_of_Engineering" title="National Academy of Engineering">National Academy of Engineering</a>,<sup id="cite_ref-NAE_1-1" class="reference"><a href="#cite_note-NAE-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> and the <a href="/wiki/American_Academy_of_Arts_and_Sciences" title="American Academy of Arts and Sciences">American Academy of Arts and Sciences</a>.<sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup> He has been awarded many honorary doctorates from other universities. In 2012 he became a fellow of the <a href="/wiki/American_Mathematical_Society" title="American Mathematical Society">American Mathematical Society</a>.<sup id="cite_ref-10" class="reference"><a href="#cite_note-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup> </p><p>Kálmán received the <a href="/wiki/IEEE_Medal_of_Honor" title="IEEE Medal of Honor">IEEE Medal of Honor</a> in 1974, the <a href="/wiki/IEEE_Centennial_Medal" title="IEEE Centennial Medal">IEEE Centennial Medal</a> in 1984, the Inamori foundation's <a href="/wiki/Kyoto_Prize_in_Advanced_Technology" title="Kyoto Prize in Advanced Technology">Kyoto Prize in Advanced Technology</a> in 1985, the <a href="/wiki/Steele_Prize" class="mw-redirect" title="Steele Prize">Steele Prize</a> of the <a href="/wiki/American_Mathematical_Society" title="American Mathematical Society">American Mathematical Society</a> in 1987, the <a href="/wiki/Richard_E._Bellman_Control_Heritage_Award" title="Richard E. Bellman Control Heritage Award">Richard E. Bellman Control Heritage Award</a> in 1997,<sup id="cite_ref-11" class="reference"><a href="#cite_note-11"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup> and the National Academy of Engineering's <a href="/wiki/Charles_Stark_Draper_Prize" title="Charles Stark Draper Prize">Charles Stark Draper Prize</a> in 2008. </p><p>Kálmán also received an Honorary Doctorate from <a href="/wiki/Heriot-Watt_University" title="Heriot-Watt University">Heriot-Watt University</a> in 1990.<sup id="cite_ref-12" class="reference"><a href="#cite_note-12"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> and an Honorary doctorate from the Politecnico di Milano in 2012. Kalman died a few weeks before the conferment of the latter doctorate, so that his wife Dina attended the ceremony on his behalf, held in the Conference room of the Departement of Electronics, Information and Bioengineering of the Politecnico di Milano on 12 September 2016. </p> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Rudolf_E._K%C3%A1lm%C3%A1n&action=edit&section=4" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/List_of_members_of_the_National_Academy_of_Engineering_(Electronics)" title="List of members of the National Academy of Engineering (Electronics)">List of members of the National Academy of Engineering (Electronics)</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Selected_publications">Selected publications</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Rudolf_E._K%C3%A1lm%C3%A1n&action=edit&section=5" title="Edit section: Selected publications"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite id="CITEREFKalman,_R.E.1960" class="citation journal cs1">Kalman, R.E. (1960). "A New Approach to Linear Filtering and Prediction Problems". <i>Journal of Basic Engineering</i>. <b>82</b> (1): 35–45. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1115%2F1.3662552">10.1115/1.3662552</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a> <a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:1242324">1242324</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Journal+of+Basic+Engineering&rft.atitle=A+New+Approach+to+Linear+Filtering+and+Prediction+Problems&rft.volume=82&rft.issue=1&rft.pages=35-45&rft.date=1960&rft_id=info%3Adoi%2F10.1115%2F1.3662552&rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A1242324%23id-name%3DS2CID&rft.au=Kalman%2C+R.E.&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARudolf+E.+K%C3%A1lm%C3%A1n" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFKalman,_R.E.Bucy,_R.S.1961" class="citation journal cs1">Kalman, R.E.; Bucy, R.S. (1961). <a rel="nofollow" class="external text" href="http://www.eecs.tufts.edu/~khan/Courses/Spring2012/EE194/Lecs/KalmanBucy1961.pdf">"New Results in Linear Filtering and Prediction Theory"</a> <span class="cs1-format">(PDF)</span>. <i>Journal of Basic Engineering</i>. <b>83</b>: 95–108. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1115%2F1.3658902">10.1115/1.3658902</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a> <a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:8141345">8141345</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Journal+of+Basic+Engineering&rft.atitle=New+Results+in+Linear+Filtering+and+Prediction+Theory&rft.volume=83&rft.pages=95-108&rft.date=1961&rft_id=info%3Adoi%2F10.1115%2F1.3658902&rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A8141345%23id-name%3DS2CID&rft.au=Kalman%2C+R.E.&rft.au=Bucy%2C+R.S.&rft_id=http%3A%2F%2Fwww.eecs.tufts.edu%2F~khan%2FCourses%2FSpring2012%2FEE194%2FLecs%2FKalmanBucy1961.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARudolf+E.+K%C3%A1lm%C3%A1n" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFKalman,_R._E.1960" class="citation journal cs1">Kalman, R. E. (1960). "Contributions to the theory of optimal control". <i>Bol. Soc. Mat. Mexicana</i>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Bol.+Soc.+Mat.+Mexicana&rft.atitle=Contributions+to+the+theory+of+optimal+control&rft.date=1960&rft.au=Kalman%2C+R.+E.&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARudolf+E.+K%C3%A1lm%C3%A1n" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFKalman,_R._E.1963" class="citation journal cs1">Kalman, R. E. (1963). "Mathematical description of linear dynamical systems". <i>Journal of the Society for Industrial and Applied Mathematics</i>. <b>1</b> (2): 152–192. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1137%2F0301010">10.1137/0301010</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Journal+of+the+Society+for+Industrial+and+Applied+Mathematics&rft.atitle=Mathematical+description+of+linear+dynamical+systems&rft.volume=1&rft.issue=2&rft.pages=152-192&rft.date=1963&rft_id=info%3Adoi%2F10.1137%2F0301010&rft.au=Kalman%2C+R.+E.&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARudolf+E.+K%C3%A1lm%C3%A1n" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFKalman,_R._E.Bertram,_J._E.1960" class="citation journal cs1">Kalman, R. E.; Bertram, J. E. (1960). "Control system analysis and design Via the "second method" of Lyapunov: I — Continuous-time systems". <i>Journal of Basic Engineering</i>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Journal+of+Basic+Engineering&rft.atitle=Control+system+analysis+and+design+Via+the+%22second+method%22+of+Lyapunov%3A+I+%E2%80%94+Continuous-time+systems&rft.date=1960&rft.au=Kalman%2C+R.+E.&rft.au=Bertram%2C+J.+E.&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARudolf+E.+K%C3%A1lm%C3%A1n" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFKalman,_R._E.Bertram,_J._E.1960" class="citation journal cs1">Kalman, R. E.; Bertram, J. E. (1960). "Control system analysis and design Via the "second method" of Lyapunov: II — Discrete-time systems". <i>Journal of Basic Engineering</i>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Journal+of+Basic+Engineering&rft.atitle=Control+system+analysis+and+design+Via+the+%22second+method%22+of+Lyapunov%3A+II+%E2%80%94+Discrete-time+systems&rft.date=1960&rft.au=Kalman%2C+R.+E.&rft.au=Bertram%2C+J.+E.&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARudolf+E.+K%C3%A1lm%C3%A1n" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFKalman,_R._E.Ho,_B._L.1966" class="citation journal cs1">Kalman, R. E.; Ho, B. L. (1966). "Editorial: Effective construction of linear state-variable models from input/output functions". <i>Regelungstechnik</i>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Regelungstechnik&rft.atitle=Editorial%3A+Effective+construction+of+linear+state-variable+models+from+input%2Foutput+functions&rft.date=1966&rft.au=Kalman%2C+R.+E.&rft.au=Ho%2C+B.+L.&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARudolf+E.+K%C3%A1lm%C3%A1n" class="Z3988"></span></li></ul> <div class="mw-heading mw-heading2"><h2 id="See_also_2">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Rudolf_E._K%C3%A1lm%C3%A1n&action=edit&section=6" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Hamilton%E2%80%93Jacobi%E2%80%93Bellman_equation" title="Hamilton–Jacobi–Bellman equation">Hamilton–Jacobi–Bellman equation</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Rudolf_E._K%C3%A1lm%C3%A1n&action=edit&section=7" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap mw-references-columns"><ol class="references"> <li id="cite_note-NAE-1"><span class="mw-cite-backlink">^ <a href="#cite_ref-NAE_1-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-NAE_1-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="https://www.nae.edu/MembersSection/MemberDirectory/29818.aspx">Prof. Dr. Rudolf Kalman was elected in 1991 as a member of National Academy of Engineering in Electronics, Communication & Information Systems Engineering.</a></span> </li> <li id="cite_note-RIP-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-RIP_2-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation news cs1"><a rel="nofollow" class="external text" href="https://www.eng.ufl.edu/newengineer/in-memoriam/remembering-rudolf-e-kalman-1930-2016/">"Remembering Rudolf E. Kalman (1930 – 2016)"</a>. July 7, 2016.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Remembering+Rudolf+E.+Kalman+%281930+%E2%80%93+2016%29&rft.date=2016-07-07&rft_id=https%3A%2F%2Fwww.eng.ufl.edu%2Fnewengineer%2Fin-memoriam%2Fremembering-rudolf-e-kalman-1930-2016%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARudolf+E.+K%C3%A1lm%C3%A1n" class="Z3988"></span></span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-3">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="https://www.nsf.gov/od/nms/recip_details.cfm?recip_id=5300000000455">The President's National Medal of Science: Recipient Details: Rudolf E. Kálmán</a> National Science Foundation.</span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-4">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://www.nsf.gov/od/nms/recip_details.jsp?recip_id=5300000000455">"The President's National Medal of Science: Recipient Details | Rudolf E. Kálmán"</a>. <i>www.nsf.gov</i><span class="reference-accessdate">. Retrieved <span class="nowrap">May 3,</span> 2021</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=www.nsf.gov&rft.atitle=The+President%27s+National+Medal+of+Science%3A+Recipient+Details+%7C+Rudolf+E.+K%C3%A1lm%C3%A1n&rft_id=https%3A%2F%2Fwww.nsf.gov%2Fod%2Fnms%2Frecip_details.jsp%3Frecip_id%3D5300000000455&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARudolf+E.+K%C3%A1lm%C3%A1n" class="Z3988"></span></span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-5">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFSontag2010" class="citation journal cs1">Sontag, Eduardo D. (2010). <a rel="nofollow" class="external text" href="https://ieeexplore.ieee.org/document/5438295">"Rudolf E. Kalman and his students"</a>. <i>IEEE Control Systems Magazine</i>. <b>30</b> (2): 87–88. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1109%2FMCS.2010.935885">10.1109/MCS.2010.935885</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=IEEE+Control+Systems+Magazine&rft.atitle=Rudolf+E.+Kalman+and+his+students&rft.volume=30&rft.issue=2&rft.pages=87-88&rft.date=2010&rft_id=info%3Adoi%2F10.1109%2FMCS.2010.935885&rft.aulast=Sontag&rft.aufirst=Eduardo+D.&rft_id=https%3A%2F%2Fieeexplore.ieee.org%2Fdocument%2F5438295&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARudolf+E.+K%C3%A1lm%C3%A1n" class="Z3988"></span></span> </li> <li id="cite_note-6"><span class="mw-cite-backlink"><b><a href="#cite_ref-6">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://forestmeadowsfh.com/obituaries/professor-rudolf-emil-kalman/">In Loving Memory of Professor Rudolf Emil Kalman</a> Obituary. Retrieved December 26, 2019.</span> </li> <li id="cite_note-7"><span class="mw-cite-backlink"><b><a href="#cite_ref-7">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFMcgeeSchmidt1985" class="citation book cs1">Mcgee, Leonard A.; Schmidt, Stanley F. (1985). <i>Discovery of the Kalman filter as a practical tool for aerospace and industry</i>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Discovery+of+the+Kalman+filter+as+a+practical+tool+for+aerospace+and+industry&rft.date=1985&rft.aulast=Mcgee&rft.aufirst=Leonard+A.&rft.au=Schmidt%2C+Stanley+F.&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARudolf+E.+K%C3%A1lm%C3%A1n" class="Z3988"></span></span> </li> <li id="cite_note-8"><span class="mw-cite-backlink"><b><a href="#cite_ref-8">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFTamás_Székely2016" class="citation web cs1">Tamás Székely (July 6, 2016). <a rel="nofollow" class="external text" href="https://hungarytoday.hu/renowned-hungarian-scientis-rudolf-kalman-dies-aged-86-46732/">"Renowned Hungarian Scientist, Inventor Of The "Kálmán filter" Rudolf Kálmán Dies Aged 86"</a>. <i>Hungary Today</i><span class="reference-accessdate">. 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American Academy of Arts and Sciences<span class="reference-accessdate">. Retrieved <span class="nowrap">December 26,</span> 2019</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Fellows+of+the+American+Academy+of+Arts+and+Sciences&rft.pub=American+Academy+of+Arts+and+Sciences&rft_id=https%3A%2F%2Fwww.amacad.org%2Fsites%2Fdefault%2Ffiles%2Fmedia%2Fdocument%2F2019-10%2FChapterK.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARudolf+E.+K%C3%A1lm%C3%A1n" class="Z3988"></span></span> </li> <li id="cite_note-10"><span class="mw-cite-backlink"><b><a href="#cite_ref-10">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.ams.org/profession/fellows-list">List of Fellows of the American Mathematical Society</a> Retrieved December 26, 2019.</span> </li> <li id="cite_note-11"><span class="mw-cite-backlink"><b><a href="#cite_ref-11">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://a2c2.org/awards/richard-e-bellman-control-heritage-award">"Richard E. Bellman Control Heritage Award"</a>. <a href="/wiki/American_Automatic_Control_Council" title="American Automatic Control Council">American Automatic Control Council</a><span class="reference-accessdate">. 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Retrieved <span class="nowrap">December 26,</span> 2019</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=www1.hw.ac.uk&rft.atitle=Heriot-Watt+University+Edinburgh%3A+Honorary+Graduates&rft_id=https%3A%2F%2Fwww.hw.ac.uk%2Fservices%2Fsecretariat%2Fsenate%2Fhonorary-degrees-working-group.htm&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARudolf+E.+K%C3%A1lm%C3%A1n" class="Z3988"></span></span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="External_links">External links</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Rudolf_E._K%C3%A1lm%C3%A1n&action=edit&section=8" title="Edit section: External links"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1235681985">.mw-parser-output .side-box{margin:4px 0;box-sizing:border-box;border:1px solid #aaa;font-size:88%;line-height:1.25em;background-color:var(--background-color-interactive-subtle,#f8f9fa);display:flow-root}.mw-parser-output .side-box-abovebelow,.mw-parser-output .side-box-text{padding:0.25em 0.9em}.mw-parser-output .side-box-image{padding:2px 0 2px 0.9em;text-align:center}.mw-parser-output .side-box-imageright{padding:2px 0.9em 2px 0;text-align:center}@media(min-width:500px){.mw-parser-output .side-box-flex{display:flex;align-items:center}.mw-parser-output .side-box-text{flex:1;min-width:0}}@media(min-width:720px){.mw-parser-output .side-box{width:238px}.mw-parser-output .side-box-right{clear:right;float:right;margin-left:1em}.mw-parser-output .side-box-left{margin-right:1em}}</style><style data-mw-deduplicate="TemplateStyles:r1237033735">@media print{body.ns-0 .mw-parser-output .sistersitebox{display:none!important}}@media screen{html.skin-theme-clientpref-night .mw-parser-output .sistersitebox img[src*="Wiktionary-logo-en-v2.svg"]{background-color:white}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .sistersitebox img[src*="Wiktionary-logo-en-v2.svg"]{background-color:white}}</style><div class="side-box side-box-right plainlinks sistersitebox"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1126788409"> <div class="side-box-flex"> <div class="side-box-image"><span class="noviewer" typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fa/Wikiquote-logo.svg/34px-Wikiquote-logo.svg.png" decoding="async" width="34" height="40" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fa/Wikiquote-logo.svg/51px-Wikiquote-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fa/Wikiquote-logo.svg/68px-Wikiquote-logo.svg.png 2x" data-file-width="300" data-file-height="355" /></span></span></div> <div class="side-box-text plainlist">Wikiquote has quotations related to <i><b><a href="https://en.wikiquote.org/wiki/Special:Search/Rudolf_E._K%C3%A1lm%C3%A1n" class="extiw" title="q:Special:Search/Rudolf E. Kálmán">Rudolf E. Kálmán</a></b></i>.</div></div> </div> <ul><li><a rel="nofollow" class="external text" href="http://www.cs.unc.edu/~welch/kalman/">The Kalman Filter website</a></li> <li><a rel="nofollow" class="external text" href="https://web.archive.org/web/20130217013115/http://www.inamori-f.or.jp/laureates/k01_a_rudolf/prf_e.html">Kyoto Prize</a></li> <li>For Kálmán's PhD students see <a rel="nofollow" class="external text" href="http://genealogy.math.ndsu.nodak.edu/id.php?id=13021">Rudolf Emil Kálmán</a> on the <a rel="nofollow" class="external text" href="http://genealogy.math.ndsu.nodak.edu/">Mathematics Genealogy Project</a> page.</li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFO'ConnorRobertson" class="citation cs2">O'Connor, John J.; <a href="/wiki/Edmund_F._Robertson" title="Edmund F. Robertson">Robertson, Edmund F.</a>, <a rel="nofollow" class="external text" href="https://mathshistory.st-andrews.ac.uk/Biographies/Kalman.html">"Rudolf E. Kálmán"</a>, <i><a href="/wiki/MacTutor_History_of_Mathematics_Archive" title="MacTutor History of Mathematics Archive">MacTutor History of Mathematics Archive</a></i>, <a href="/wiki/University_of_St_Andrews" title="University of St Andrews">University of St Andrews</a></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Rudolf+E.+K%C3%A1lm%C3%A1n&rft.btitle=MacTutor+History+of+Mathematics+Archive&rft.pub=University+of+St+Andrews&rft.aulast=O%27Connor&rft.aufirst=John+J.&rft.au=Robertson%2C+Edmund+F.&rft_id=https%3A%2F%2Fmathshistory.st-andrews.ac.uk%2FBiographies%2FKalman.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3ARudolf+E.+K%C3%A1lm%C3%A1n" class="Z3988"></span></li> <li>A biography by Kalman's Ph.D. advisor, J R Ragazzini is given in "Dynamical Systems, Measurement, and Control", June 1977 pp. 73–75. This also has a list of Kalman's major publications.</li> <li><a rel="nofollow" class="external text" href="http://www.ieeeghn.org/wiki/index.php/Rudolf_E._Kalman">Biography of Kalman</a> from the <a href="/wiki/IEEE" class="mw-redirect" title="IEEE">IEEE</a></li></ul> <div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r1129693374">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl ul,.mw-parser-output .hlist ol dl,.mw-parser-output .hlist ol ol,.mw-parser-output .hlist ol ul,.mw-parser-output .hlist ul dl,.mw-parser-output .hlist ul ol,.mw-parser-output .hlist ul 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MacChesney</a> (1999)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">2000s</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Vinton_Cerf" class="mw-redirect" title="Vinton Cerf">Vinton Cerf</a> / <a href="/wiki/Bob_Kahn" class="mw-redirect" title="Bob Kahn">Bob Kahn</a> / <a href="/wiki/Leonard_Kleinrock" title="Leonard Kleinrock">Leonard Kleinrock</a> / <a href="/wiki/Lawrence_G._Roberts" class="mw-redirect" title="Lawrence G. Roberts">Lawrence G. Roberts</a> (2001)</li> <li><a href="/wiki/Robert_S._Langer" title="Robert S. Langer">Robert Langer</a> (2002)</li> <li><a href="/wiki/Ivan_Getting" title="Ivan Getting">Ivan Getting</a> / <a href="/wiki/Bradford_Parkinson" title="Bradford Parkinson">Bradford Parkinson</a> (2003)</li> <li><a href="/wiki/Alan_Kay" title="Alan Kay">Alan Kay </a> / <a href="/wiki/Butler_Lampson" title="Butler Lampson">Butler Lampson</a> / <a href="/wiki/Robert_Taylor_(computer_scientist)" title="Robert Taylor (computer scientist)">Robert Taylor</a> / <a href="/wiki/Charles_P._Thacker" title="Charles P. Thacker">Charles P. Thacker</a> (2004)</li> <li>Minoru S. Araki / Francis J. Madden / Edward A. Miller / <a href="/wiki/James_W._Plummer" title="James W. Plummer">James W. Plummer</a> / Don H. Schoessler (2005)</li> <li><a href="/wiki/Willard_Boyle" title="Willard Boyle">Willard Boyle</a> / <a href="/wiki/George_E._Smith" title="George E. Smith">George E. Smith</a> (2006)</li> <li><a href="/wiki/Tim_Berners-Lee" title="Tim Berners-Lee">Tim Berners-Lee</a> (2007)</li> <li><a class="mw-selflink selflink">Rudolf E. Kálmán</a> (2008)</li> <li><a href="/wiki/Robert_H._Dennard" title="Robert H. Dennard">Robert H. Dennard</a> (2009)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">2010s</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Frances_Arnold" title="Frances Arnold">Frances Arnold</a> / <a href="/wiki/Willem_P._C._Stemmer" title="Willem P. C. Stemmer">Willem P. C. Stemmer</a> (2011)</li> <li><a href="/wiki/George_H._Heilmeier" title="George H. Heilmeier">George H. Heilmeier</a> / <a href="/wiki/Wolfgang_Helfrich" title="Wolfgang Helfrich">Wolfgang Helfrich</a> / <a href="/wiki/Martin_Schadt" title="Martin Schadt">Martin Schadt</a> / <a href="/wiki/T._Peter_Brody" title="T. Peter Brody">T. Peter Brody</a> (2012)</li> <li><a href="/wiki/Thomas_Haug" title="Thomas Haug">Thomas Haug</a> / <a href="/wiki/Martin_Cooper_(inventor)" title="Martin Cooper (inventor)">Martin Cooper</a> / <a href="/wiki/Yoshihisa_Okumura" title="Yoshihisa Okumura">Yoshihisa Okumura</a> / <a href="/wiki/Richard_H._Frenkiel" title="Richard H. Frenkiel">Richard H. Frenkiel</a> / <a href="/wiki/Joel_S._Engel" title="Joel S. Engel">Joel S. Engel</a> (2013)</li> <li><a href="/wiki/John_B._Goodenough" title="John B. Goodenough">John B. Goodenough</a> / Yoshio Nishi / <a href="/wiki/Rachid_Yazami" title="Rachid Yazami">Rachid Yazami</a> / <a href="/wiki/Akira_Yoshino" title="Akira Yoshino">Akira Yoshino</a> (2014)</li> <li><a href="/wiki/Isamu_Akasaki" title="Isamu Akasaki">Isamu Akasaki</a> / <a href="/wiki/M._George_Craford" title="M. George Craford">George Craford</a> / <a href="/wiki/Russell_Dupuis" title="Russell Dupuis">Russell Dupuis</a> / <a href="/wiki/Nick_Holonyak" title="Nick Holonyak">Nick Holonyak</a> / <a href="/wiki/Shuji_Nakamura" title="Shuji Nakamura">Shuji Nakamura</a> (2015)</li> <li><a href="/wiki/Andrew_Viterbi" title="Andrew Viterbi">Andrew Viterbi</a> (2016)</li> <li><a href="/wiki/Bjarne_Stroustrup" title="Bjarne Stroustrup">Bjarne Stroustrup</a> (2018)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">2020s</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Jean_Fr%C3%A9chet" title="Jean Fréchet">Jean Fréchet</a> / C. Grant Willson (2020)</li> <li><a href="/wiki/Steve_Furber" title="Steve Furber">Steve Furber</a> / <a href="/wiki/John_L._Hennessy" title="John L. Hennessy">John L. Hennessy</a> / <a href="/wiki/David_Patterson_(computer_scientist)" title="David Patterson (computer scientist)">David Patterson</a> / <a href="/wiki/Sophie_Wilson" title="Sophie Wilson">Sophie Wilson</a> (2022)</li></ul> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235"></div><div role="navigation" class="navbox" aria-labelledby="IEEE_Medal_of_Honor" style="padding:3px"><table class="nowraplinks hlist mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231"><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:IEEE_Medal_of_Honor_Laureates_1951%E2%80%931975" title="Template:IEEE Medal of Honor Laureates 1951–1975"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:IEEE_Medal_of_Honor_Laureates_1951%E2%80%931975" title="Template talk:IEEE Medal of Honor Laureates 1951–1975"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:IEEE_Medal_of_Honor_Laureates_1951%E2%80%931975" title="Special:EditPage/Template:IEEE Medal of Honor Laureates 1951–1975"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="IEEE_Medal_of_Honor" style="font-size:114%;margin:0 4em"><a href="/wiki/IEEE_Medal_of_Honor" title="IEEE Medal of Honor">IEEE Medal of Honor</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%">1951–1975</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Vladimir_K._Zworykin" title="Vladimir K. Zworykin">Vladimir K. Zworykin</a> (1951)</li> <li><a href="/wiki/Walter_Ransom_Gail_Baker" title="Walter Ransom Gail Baker">Walter R. G. Baker</a> (1952)</li> <li><a href="/wiki/John_Milton_Miller" title="John Milton Miller">John M. Miller</a> (1953)</li> <li><a href="/wiki/William_Littell_Everitt" title="William Littell Everitt">William L. Everitt</a> (1954)</li> <li><a href="/wiki/Harald_T._Friis" title="Harald T. Friis">Harald T. Friis</a> (1955)</li> <li><a href="/wiki/John_Vincent_Lawless_Hogan" title="John Vincent Lawless Hogan">John V. L. Hogan</a> (1956)</li> <li><a href="/wiki/Julius_Adams_Stratton" title="Julius Adams Stratton">Julius Adams Stratton</a> (1957)</li> <li><a href="/wiki/Albert_W._Hull" title="Albert W. Hull">Albert W. Hull</a> (1958)</li> <li><a href="/wiki/Emory_Leon_Chaffee" title="Emory Leon Chaffee">Emory Leon Chaffee</a> (1959)</li> <li><a href="/wiki/Harry_Nyquist" title="Harry Nyquist">Harry Nyquist</a> (1960)</li> <li><a href="/wiki/Ernst_Guillemin" title="Ernst Guillemin">Ernst Guillemin</a> (1961)</li> <li><a href="/wiki/Edward_Victor_Appleton" title="Edward Victor Appleton">Edward Victor Appleton</a> (1962)</li> <li><a href="/wiki/George_Clark_Southworth" title="George Clark Southworth">George C. Southworth</a> (1963)</li> <li><a href="/wiki/John_Hays_Hammond_Jr." title="John Hays Hammond Jr.">John Hays Hammond Jr.</a> (1963)</li> <li><a href="/wiki/Harold_Alden_Wheeler" title="Harold Alden Wheeler">Harold Alden Wheeler</a> (1964)</li> <li><a href="/wiki/Claude_Shannon" title="Claude Shannon">Claude Shannon</a> (1966)</li> <li><a href="/wiki/Charles_H._Townes" title="Charles H. Townes">Charles H. Townes</a> (1967)</li> <li><a href="/wiki/Gordon_Kidd_Teal" title="Gordon Kidd Teal">Gordon Kidd Teal</a> (1968)</li> <li><a href="/wiki/Edward_Ginzton" title="Edward Ginzton">Edward Ginzton</a> (1969)</li> <li><a href="/wiki/Dennis_Gabor" title="Dennis Gabor">Dennis Gabor</a> (1970)</li> <li><a href="/wiki/John_Bardeen" title="John Bardeen">John Bardeen</a> (1971)</li> <li><a href="/wiki/Jay_Wright_Forrester" title="Jay Wright Forrester">Jay Wright Forrester</a> (1972)</li> <li><a href="/wiki/Rudolf_Kompfner" title="Rudolf Kompfner">Rudolf Kompfner</a> (1973)</li> <li><a class="mw-selflink selflink">Rudolf E. Kálmán</a> (1974)</li> <li><a href="/wiki/John_R._Pierce" title="John R. Pierce">John R. Pierce</a> (1975)</li></ul> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235"></div><div role="navigation" class="navbox" aria-labelledby="AACC_Richard_E._Bellman_Control_Heritage_Award" style="padding:3px"><table class="nowraplinks mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231"><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Richard_E._Bellman_Control_Heritage_Award" title="Template:Richard E. Bellman Control Heritage Award"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Richard_E._Bellman_Control_Heritage_Award" title="Template talk:Richard E. Bellman Control Heritage Award"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Richard_E._Bellman_Control_Heritage_Award" title="Special:EditPage/Template:Richard E. Bellman Control Heritage Award"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="AACC_Richard_E._Bellman_Control_Heritage_Award" style="font-size:114%;margin:0 4em"><a href="/wiki/American_Automatic_Control_Council" title="American Automatic Control Council">AACC</a> <a href="/wiki/Richard_E._Bellman_Control_Heritage_Award" title="Richard E. Bellman Control Heritage Award">Richard E. Bellman Control Heritage Award</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%">1979–2000</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Hendrik_Wade_Bode" title="Hendrik Wade Bode">Hendrik Wade Bode</a> (1979)</li> <li><a href="/wiki/Nathaniel_B._Nichols" title="Nathaniel B. Nichols">Nathaniel B. Nichols</a> (1980)</li> <li><a href="/wiki/Charles_Stark_Draper" title="Charles Stark Draper">Charles Stark Draper</a> (1981)</li> <li><a href="/wiki/Irving_Lefkowitz" title="Irving Lefkowitz">Irving Lefkowitz</a> (1982)</li> <li><a href="/wiki/John_V._Breakwell" title="John V. Breakwell">John V. Breakwell</a> (1983)</li> <li><a href="/wiki/Richard_E._Bellman" title="Richard E. Bellman">Richard E. Bellman</a> (1984)</li> <li><a href="/wiki/Harold_Chestnut" title="Harold Chestnut">Harold Chestnut</a> (1985)</li> <li><a href="/wiki/John_Zaborszky" title="John Zaborszky">John Zaborszky</a> (1986)</li> <li><a href="/wiki/John_C._Lozier" title="John C. Lozier">John C. Lozier</a> (1987)</li> <li><a href="/wiki/Walter_R._Evans" title="Walter R. Evans">Walter R. Evans</a> (1988)</li> <li><a href="/wiki/Roger_W._Brockett" title="Roger W. Brockett">Roger W. Brockett</a> (1989)</li> <li><a href="/wiki/Arthur_E._Bryson" title="Arthur E. Bryson">Arthur E. Bryson</a> (1990)</li> <li><a href="/wiki/John_G._Truxal" title="John G. Truxal">John G. Truxal</a> (1991)</li> <li><a href="/wiki/Rutherford_Aris" title="Rutherford Aris">Rutherford Aris</a> (1992)</li> <li><a href="/wiki/Eliahu_I._Jury" title="Eliahu I. Jury">Eliahu I. Jury</a> (1993)</li> <li><a href="/wiki/Jose_B._Cruz_Jr." title="Jose B. Cruz Jr.">Jose B. Cruz Jr.</a> (1994)</li> <li><a href="/wiki/Michael_Athans" title="Michael Athans">Michael Athans</a> (1995)</li> <li><a href="/wiki/Elmer_G._Gilbert" title="Elmer G. Gilbert">Elmer G. Gilbert</a> (1996)</li> <li><a class="mw-selflink selflink">Rudolf E. Kalman</a> (1997)</li> <li><a href="/wiki/Lotfi_A._Zadeh" title="Lotfi A. Zadeh">Lotfi A. Zadeh</a> (1998)</li> <li><a href="/wiki/Yu-Chi_Ho" title="Yu-Chi Ho">Yu-Chi Ho</a> (1999)</li> <li><a href="/wiki/W._Harmon_Ray" title="W. Harmon Ray">W. Harmon Ray</a> (2000)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">2001–present</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/A._V._Balakrishnan" title="A. V. Balakrishnan">A. V. Balakrishnan</a> (2001)</li> <li><a href="/wiki/Petar_V._Kokotovic" title="Petar V. Kokotovic">Petar V. Kokotovic</a> (2002)</li> <li><a href="/wiki/Kumpati_S._Narendra" title="Kumpati S. Narendra">Kumpati S. Narendra</a> (2003)</li> <li><a href="/wiki/Harold_J._Kushner" title="Harold J. Kushner">Harold J. Kushner</a> (2004)</li> <li><a href="/wiki/Gene_F._Franklin" title="Gene F. Franklin">Gene F. Franklin</a> (2005)</li> <li><a href="/wiki/Tamer_Ba%C5%9Far" title="Tamer Başar">Tamer Başar</a> (2006)</li> <li><a href="/wiki/Sanjoy_K._Mitter" title="Sanjoy K. Mitter">Sanjoy K. Mitter</a> (2007)</li> <li><a href="/wiki/Pravin_Varaiya" title="Pravin Varaiya">Pravin Varaiya</a> (2008)</li> <li><a href="/wiki/George_Leitmann" title="George Leitmann">George Leitmann</a> (2009)</li> <li><a href="/wiki/Dragoslav_D._%C5%A0iljak" title="Dragoslav D. Šiljak">Dragoslav D. Šiljak</a> (2010)</li> <li><a href="/wiki/Manfred_Morari" title="Manfred Morari">Manfred Morari</a> (2011)</li> <li><a href="/wiki/Arthur_J._Krener" title="Arthur J. Krener">Arthur J. Krener</a> (2012)</li> <li><a href="/wiki/A._Stephen_Morse" title="A. Stephen Morse">A. Stephen Morse</a> (2013)</li> <li><a href="/wiki/Dimitri_Bertsekas" title="Dimitri Bertsekas">Dimitri Bertsekas</a> (2014)</li> <li><a href="/wiki/Thomas_F._Edgar" title="Thomas F. Edgar">Thomas F. Edgar</a> (2015)</li> <li><a href="/wiki/Jason_Speyer" title="Jason Speyer">Jason L. Speyer</a> (2016)</li> <li><a href="/wiki/John_Baras" title="John Baras">John S. Baras</a> (2017)</li> <li><a href="/wiki/Masayoshi_Tomizuka" title="Masayoshi Tomizuka">Masayoshi Tomizuka</a> (2018)</li> <li><a href="/wiki/Irena_Lasiecka" title="Irena Lasiecka">Irena Lasiecka</a> (2019)</li> <li><a href="/wiki/Galip_Ulsoy" title="Galip Ulsoy">Galip Ulsoy</a> (2020)</li> <li><a href="/wiki/Miroslav_Krsti%C4%87" title="Miroslav Krstić">Miroslav Krstić</a> (2021)</li> <li><a href="/wiki/Eduardo_Sontag" class="mw-redirect" title="Eduardo Sontag">Eduardo Sontag</a> (2022)</li> <li><a href="/wiki/Stephen_P._Boyd" title="Stephen P. Boyd">Stephen P. Boyd</a> (2023)</li></ul> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235"></div><div role="navigation" class="navbox authority-control" aria-labelledby="Authority_control_databases_frameless&#124;text-top&#124;10px&#124;alt=Edit_this_at_Wikidata&#124;link=https&#58;//www.wikidata.org/wiki/Q384687#identifiers&#124;class=noprint&#124;Edit_this_at_Wikidata" style="padding:3px"><table class="nowraplinks hlist mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="Authority_control_databases_frameless&#124;text-top&#124;10px&#124;alt=Edit_this_at_Wikidata&#124;link=https&#58;//www.wikidata.org/wiki/Q384687#identifiers&#124;class=noprint&#124;Edit_this_at_Wikidata" style="font-size:114%;margin:0 4em"><a href="/wiki/Help:Authority_control" title="Help:Authority control">Authority control databases</a> <span class="mw-valign-text-top noprint" typeof="mw:File/Frameless"><a href="https://www.wikidata.org/wiki/Q384687#identifiers" title="Edit this at Wikidata"><img alt="Edit this at Wikidata" src="//upload.wikimedia.org/wikipedia/en/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/10px-OOjs_UI_icon_edit-ltr-progressive.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/15px-OOjs_UI_icon_edit-ltr-progressive.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/20px-OOjs_UI_icon_edit-ltr-progressive.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%">International</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://isni.org/isni/0000000110457053">ISNI</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://viaf.org/viaf/23492639">VIAF</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://id.oclc.org/worldcat/entity/E39PBJkdgP4ktQTrdMhtFftBT3">WorldCat</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">National</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://d-nb.info/gnd/119025736">Germany</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://id.loc.gov/authorities/n82130585">United States</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://aleph.nkp.cz/F/?func=find-c&local_base=aut&ccl_term=ica=xx0140128&CON_LNG=ENG">Czech Republic</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://data.bibliotheken.nl/id/thes/p070042543">Netherlands</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://authority.bibsys.no/authority/rest/authorities/html/90570273">Norway</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://kopkatalogs.lv/F?func=direct&local_base=lnc10&doc_number=000138286&P_CON_LNG=ENG">Latvia</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://olduli.nli.org.il/F/?func=find-b&local_base=NLX10&find_code=UID&request=987007460658705171">Israel</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Academics</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://ci.nii.ac.jp/author/DA01731384?l=en">CiNii</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.mathgenealogy.org/id.php?id=13021">Mathematics Genealogy Project</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://zbmath.org/authors/?q=ai:kalman.rudolf-e">zbMATH</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://dblp.org/pid/19/1323">DBLP</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet/MRAuthorID/97310">MathSciNet</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">People</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external 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