Document Zbl 1408.93059

<!doctype html> <html lang="en"> <head> <meta charset="utf-8"> <title>Document Zbl 1408.93059 - zbMATH Open</title> <meta name="viewport" content="width=device-width, minimum-scale=0.1, maximum-scale=5.0"> <meta name="robots" content="noarchive, noindex"> <meta name="referrer" content="origin-when-cross-origin"> <link href="https://static.zbmath.org/contrib/bootstrap/v3.3.7/css/bootstrap.min.css" rel="stylesheet" media="screen,print"> <link href="https://static.zbmath.org/contrib/bootstrap/v3.3.7/css/bootstrap-theme.min.css" rel="stylesheet" media="screen,print"> <link href="https://static.zbmath.org/contrib/bootstrap-lightbox/v0.7.0/bootstrap-lightbox.min.css" rel="stylesheet" media="screen,print"> <link rel="stylesheet" href="https://static.zbmath.org/contrib/bootstrap-select/v1.13.14/css/bootstrap-select.min.css"> <link href="/static/css/smoothness/jquery-ui-1.10.1.custom.min.css" rel="stylesheet" media="screen"> <link href="/static/styles.css?v=20241024" rel="stylesheet" media="screen,print"> <link href="https://static.zbmath.org/zbMathJax/v0.1.38/zbmathjax.css" rel="stylesheet" media="screen,print"> <link rel="shortcut icon" href="/static/zbmath.ico"> <script type="application/ld+json"> { "@context": "http://schema.org", "@type": "Organization", "url": "https://zbmath.org/", "logo": "https://zbmath.org/static/zbMATH.png" } </script> </head> <body> <div id="line"></div> <span id="clear" style="cursor: pointer;">×</span> <div id="page"> <div id="head"> <nav id="menu" class="navbar navbar-default"> <div class="container-fluid"> <div class="navbar-header"> <button type="button" class="navbar-toggle collapsed" data-toggle="collapse" data-target="#zbnav" aria-expanded="false"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar"></span> <span class="icon-bar"></span> <span class="icon-bar"></span> </button> <a class="navbar-brand" href="#"> <img class="logo" src="/static/zbmath.gif" alt="zbMATH Open logo"> </a> </div> <div id="zbnav" class="collapse navbar-collapse"> <ul class="nav navbar-nav pages"> <li class="about"> <a href="/about/">About</a> </li> <li class="frequently-asked-questions"> <a href="/frequently-asked-questions/">FAQ</a> </li> <li class="general-help"> <a href="/general-help/">General Help</a> </li> <li class="reviewer-service"> <a href="https://zbmath.org/reviewer-service/" target="_self" >Reviewer Service</a> </li> <li> <a href="/tools-and-resources/">Tools & Resources</a> </li> <li class="contact"> <a href="/contact/">Contact</a> </li> </ul> <ul class="nav navbar-nav navbar-right prefs"> <li class="preferences dropdown"> <a data-toggle="dropdown" href="#">Preferences <i class="caret"></i></a> <ul class="dropdown-menu preferences"> <li> <form id="preferences" class="navbar-form" method="post" action="/preferences/" onsubmit="return confirm('This website uses cookies for the purposes of storing preference information on your device. Do you agree to this?\n\nPlease refer to our Privacy Policy to learn more about our use of cookies.')" > <input type="hidden" name="path" value="/1408.93059?"> <span class=""> <label class="title">Search Form</label> <div class="form-group"> <input id="search-multi-line" type="radio" name="search" value="multi-line" checked> <label for="search-multi-line" class="radio">Multi-Line Search (default)</label> </div> <div class="form-group"> <input id="search-one-line" type="radio" name="search" value="one-line"> <label for="search-one-line" class="radio">One-Line Search</label> </div> </span> <span class="count"> <label class="title">Hits per Page</label> <div class="form-group"> <input id="count-10" type="radio" name="count" value="10"> <label for="count-10" class="radio">10</label> </div> <div class="form-group"> <input id="count-20" type="radio" name="count" value="20"> <label for="count-20" class="radio">20</label> </div> <div class="form-group"> <input id="count-50" type="radio" name="count" value="50"> <label for="count-50" class="radio">50</label> </div> <div class="form-group"> <input id="count-100" type="radio" name="count" value="100" checked> <label for="count-100" class="radio">100 (default)</label> </div> <div class="form-group"> <input id="count-200" type="radio" name="count" value="200"> <label for="count-200" class="radio">200</label> </div> </span> <span class="format"> <label class="title">Display Format</label> <div class="form-group"> <input id="format-mathjax" type="radio" name="format" value="mathjax" checked> <label for="format-mathjax" class="radio">MathJax (default)</label> </div> <div class="form-group"> <input id="format-amstex" type="radio" name="format" value="latex"> <label for="format-amstex" class="radio">LaTeX</label> </div> </span> <span class="ranking"> <label class="title">Documents Sorting</label> <div class="form-group"> <input id="documents-ranking-default" type="radio" name="documents_ranking" value="date" checked> <label for="documents-ranking-default" class="radio">Newest first (default)</label> </div> <div class="form-group"> <input id="documents-ranking-references" type="radio" name="documents_ranking" value="references"> <label for="documents-ranking-references" class="radio">Citations</label> </div> <div class="form-group"> <input id="documents-ranking-relevance" type="radio" name="documents_ranking" value="relevance"> <label for="documents-ranking-relevance" class="radio">Relevance</label> </div> </span> <span class="ranking"> <label class="title">Authors Sorting</label> <div class="form-group"> <input id="authors-ranking-default" type="radio" name="authors_ranking" value="alpha" checked> <label for="authors-ranking-default" class="radio">Alphabetically (default)</label> </div> <div class="form-group"> <input id="authors-ranking-references" type="radio" name="authors_ranking" value="references"> <label for="authors-ranking-references" class="radio">Citations</label> </div> </span> <span class="ranking"> <label class="title">Serials Sorting</label> <div class="form-group"> <input id="serials-ranking-default" type="radio" name="serials_ranking" value="alpha" checked> <label for="serials-ranking-default" class="radio">Alphabetically (default)</label> </div> <div class="form-group"> <input id="serials-ranking-references" type="radio" name="serials_ranking" value="references"> <label for="serials-ranking-references" class="radio">Citations</label> </div> </span> <span class="ranking"> <label class="title">Software Sorting</label> <div class="form-group"> <input id="software-ranking-default" type="radio" name="software_ranking" value="references" checked> <label for="software-ranking-default" class="radio">Citations (default)</label> </div> <div class="form-group"> <input id="software-ranking-alpha" type="radio" name="software_ranking" value="alpha"> <label for="software-ranking-alpha" class="radio">Alphabetically</label> </div> </span> <button type="submit" class="btn btn-default">OK</button> <div class="clearfix"> </form> </li> </ul> </li> </ul> </div> </div> </nav> <div id="tabs"> <h1 class="logo"> <a class="logo" href="/"> <img class="logo" src="/static/zbmath.gif" alt="zbMATH Open — the first resource for mathematics" > </a> </h1> <nav> <ul class="nav nav-tabs"> <li class="tab-documents active"> <a href="/">Documents</a> </li> <li class="tab-authors"> <a href="/authors/">Authors</a> </li> <li class="tab-serials"> <a href="/serials/">Serials</a> </li> <li class="tab-software"> <a href="/software/">Software</a> </li> <li class="tab-classification"> <a href="/classification/">Classification</a> </li> <li class="tab-formulae"> <a href="/formulae/">Formulæ</a> </li> </ul> </nav> <div class="clearfix"></div> </div> <div class="content-fixed"> <div class="content-formular"> <div style="display: none;"> <div class="row ml-0"id="multi-line-new-line" style="display: none;"> <div class="col-xs-12 form-inline multi-line"> <select class="form-control multi-line-field multi-line-selectpicker" name="ml-0-f" aria-label="field"> <option data-type="input" value="any" selected>Anywhere</option> <option data-type="input" value="au">Authors</option> <option data-type="input" value="ti">Title</option> <option data-type="input" value="py">Year</option> <option data-type="range" value="pyr">Year Range</option> <option data-type="input" value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><select class="form-control multi-line-operators multi-line-selectpicker" name="ml-0-op" aria-label="operator"> <option value="and" selected>AND</option> <option value="andnot">AND NOT</option> <option value="or">OR</option> </select></div> </div> <input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input"> <span class="multi-line-value" id="multi-line-type-range"><span style="padding-left: 5px;">from</span> <input name="ml-0-v1" class="form-control multi-line-input" type="text" value="" aria-label="value"> until <input name="ml-0-v2" class="form-control multi-line-input" type="text" value="" aria-label="value"></span> <input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-la" placeholder="use name or ISO code"> <input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-rv" placeholder="enter name or zbMATH reviewer number"> <input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-an" placeholder="Zbl, JFM or ERAM number"> <input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-en" placeholder="e.g. DOI, ISBN, arXiv ID"> <input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-sw" placeholder="use * to find all documents using software"> <input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-br" placeholder="find documents about the life or work of a person"> <span class="multi-line-value" id="multi-line-type-multiselect-db"> <select class="multi-line-selectpicker" data-width="100%" multiple> <option value="zbl">Zbl</option> <option value="arxiv">arXiv</option> <option value="jfm">JFM</option> <option value="eram">ERAM</option> </select> <input type="hidden" class="multi-line-input" name="ml-0-v" value=""> </span> </div> <form name="documents" method="GET" action="/" autocomplete="off"> <div class="documents multi-line" style="display: none;"> <div class="forms"> <ul class="nav forms"> <li class="one-line"> <span tabindex="0" class="glyphicon glyphicon-question-sign" title="One-Line Search allows for free logical combinations of search fields" aria-label="One-Line Search allows for free logical combinations of search fields" data-placement="bottom"></span> <a style="display: inline-block;" href="#">One-Line Search <span class="glyphicon glyphicon-search"></span></a> </li> </ul> </div> <div class="clearfix"></div> <div class="container-fluid"> <input type="hidden" id="multi-line-ml" name="ml" value="3"> <div id="multi-line-row-wrapper"> <div class="row ml-1"> <div class="col-xs-12 form-inline multi-line"> <select class="form-control multi-line-field multi-line-selectpicker" name="ml-1-f" aria-label="field"> <option data-type="input" value="any" selected>Anywhere</option> <option data-type="input" value="au">Authors</option> <option data-type="input" value="ti">Title</option> <option data-type="input" value="py">Year</option> <option data-type="range" value="pyr">Year Range</option> <option data-type="input" value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-1-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><select class="form-control multi-line-operators multi-line-selectpicker" name="ml-1-op" aria-label="operator"> <option value="and" selected>AND</option> <option value="andnot">AND NOT</option> <option value="or">OR</option> </select></div> </div> <div class="row ml-2"> <div class="col-xs-12 form-inline multi-line"> <select class="form-control multi-line-field multi-line-selectpicker" name="ml-2-f" aria-label="field"> <option data-type="input" value="any">Anywhere</option> <option data-type="input" value="au" selected>Authors</option> <option data-type="input" value="ti">Title</option> <option data-type="input" value="py">Year</option> <option data-type="range" value="pyr">Year Range</option> <option data-type="input" value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-2-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><select class="form-control multi-line-operators multi-line-selectpicker" name="ml-2-op" aria-label="operator"> <option value="and" selected>AND</option> <option value="andnot">AND NOT</option> <option value="or">OR</option> </select></div> </div> <div class="row ml-3"> <div class="col-xs-12 form-inline multi-line"> <select class="form-control multi-line-field multi-line-selectpicker" name="ml-3-f" aria-label="field"> <option data-type="input" value="any">Anywhere</option> <option data-type="input" value="au">Authors</option> <option data-type="input" value="ti" selected>Title</option> <option data-type="input" value="py">Year</option> <option data-type="range" value="pyr">Year Range</option> <option data-type="input" value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-3-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><div id="multi-line-plus"> <a href="#"><span class="glyphicon glyphicon-plus" aria-hidden="true"></span> add line</a> </div></div> </div> </div> <div class="row"> <div class="col-xs-12 form-inline"> <div class="form-group field checkboxes-wrapper" id="checkboxes-wrapper-test" style="visibility: hidden; position: fixed;"> <label>Document Type:</label> <div class="checkboxes"> <div class="slider"> <label title="search for Articles in Journals"> <input type="checkbox" class="form-control" value="j" checked> <span tabindex="0"><small></small></span> Journal Articles </label> </div> <div class="slider"> <label title="search for Articles in Conference Proceedings and Collected Volumes"> <input type="checkbox" class="form-control" value="a" checked> <span tabindex="0"><small></small></span> Collection Articles </label> </div> <div class="slider"> <label title="search for Monographs, Proceedings, Dissertations etc."> <input type="checkbox" class="form-control" value="b" checked> <span tabindex="0"><small></small></span> Books </label> </div> <div class="slider"> <label title="search for arXiv Preprints"> <input type="checkbox" class="form-control" value="p" checked> <span tabindex="0"><small></small></span> arXiv Preprints </label> </div> </div> </div> <div class="form-group field checkboxes-wrapper" id="checkboxes-wrapper-real"> <label>Document Type:</label> <div class="checkboxes"> <div class="slider"> <label for="dt-j" title="search for Articles in Journals"> <input type="checkbox" id="dt-j" name="dt" class="form-control" value="j" checked> <span tabindex="0"><small></small></span> Journal Articles </label> </div> <div class="slider"> <label for="dt-a" title="search for Articles in Conference Proceedings and Collected Volumes"> <input type="checkbox" id="dt-a" name="dt" class="form-control" value="a" checked> <span tabindex="0"><small></small></span> Collection Articles </label> </div> <div class="slider"> <label for="dt-b" title="search for Monographs, Proceedings, Dissertations etc."> <input type="checkbox" id="dt-b" name="dt" class="form-control" value="b" checked> <span tabindex="0"><small></small></span> Books </label> </div> <div class="slider"> <label for="dt-p" title="search for arXiv Preprints"> <input type="checkbox" id="dt-p" name="dt" class="form-control" value="p" checked> <span tabindex="0"><small></small></span> arXiv Preprints </label> </div> </div> </div> </div> </div> <div class="row"> <div class="col-xs-12 buttons"> <a tabindex="0" class="btn btn-default clear-all">Reset all <span class="glyphicon glyphicon-remove"></span></a> <div class="submit"> <button class="btn btn-default search" type="submit">Search <span class="glyphicon glyphicon-search"></span></button> </div> </div> </div> </div> </div> </form> <form class="form-inline" name="documents" method="GET" action="/"> <div class="documents one-line" style="display: block;"> <div class="forms"> <ul class="nav forms"> <li class="multi-line"><a href="#">New Multi-Line Search <span class="glyphicon glyphicon-list"></span></a></li> </ul> </div> <div id="search-row" class="input-group box"> <span> <div id="search-field"> <input class="query form-control" type="text" name="q" value="an:1408.93059" aria-label="Search for documents" placeholder="Search for documents" autocomplete="off"> </div> <div class="search-buttons input-group-btn"> <div class="btn-group"> <button class="btn btn-default search" type="submit"><span class="virtual">Search</span> <span class="glyphicon glyphicon-search" style="top: 2px;"></span></button> </div> </div> </span> <span> <div class="search-buttons input-group-btn"> <div class="btn-group"> <div class="btn-group fields"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Fields <i class="caret"></i></button> <ul id="fields" class="dropdown-menu pull-right"> <li><a href="#"><span class="token item">any:</span><span> </span>anywhere (default)</a></li> <li><a href="#"><span class="token item">ab:</span><span>  </span>review text</a></li> <li><a href="#"><span class="token item">an:</span><span>  </span>zbmath id</a></li> <li><a href="#"><span class="token item">any:</span><span>  </span>anywhere</a></li> <li><a href="#"><span class="token item">au:</span><span>  </span>contributor name</a></li> <li><a href="#"><span class="token item">br:</span><span>  </span>biographic reference name</a></li> <li><a href="#"><span class="token item">cc:</span><span>  </span>msc title</a></li> <li><a href="#"><span class="token item">dt:</span><span>  </span>document type</a></li> <li><a href="#"><span class="token item">doi:</span><span>  </span>doi</a></li> <li><a href="#"><span class="token item">en:</span><span>  </span>external id</a></li> <li><a href="#"><span class="token item">la:</span><span>  </span>language</a></li> <li><a href="#"><span class="token item">pu:</span><span>  </span>publisher</a></li> <li><a href="#"><span class="token item">py:</span><span>  </span>year</a></li> <li><a href="#"><span class="token item">rv:</span><span>  </span>reviewer name</a></li> <li><a href="#"><span class="token item">so:</span><span>  </span>source</a></li> <li><a href="#"><span class="token item">sw:</span><span>  </span>software name</a></li> <li><a href="#"><span class="token item">ti:</span><span>  </span>title</a></li> <li><a href="#"><span class="token item">ut:</span><span>  </span>keyword</a></li> </ul> </div> <div class="btn-group operators"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Operators <i class="caret"></i></button> <ul id="operators" class="dropdown-menu pull-right"> <li><a href="#"><span class="token">a <span class="item">&</span> b </span><span> </span>logical and (default)</a></li> <li><a href="#"><span class="token">a <span class="item">|</span> b </span><span> </span>logical or</a></li> <li><a href="#"><span class="token"><span class="item">!</span>ab   </span><span> </span>logical not</a></li> <li><a href="#"><span class="token">abc<span class="item">*</span>  </span><span> </span>right wildcard</a></li> <li><a href="#"><span class="token"><span class="item">"</span>ab c<span class="item">"</span></span><span> </span>phrase</a></li> <li><a href="#"><span class="token"><span class="item">(</span>ab c<span class="item">)</span></span><span> </span>parentheses</a></li> </ul> </div> </div> </div> <div class="special"> <ul class="nav help-button"> <li class="dropdown pull-right"> <a href="#">Help <i class="caret"></i></a> </li> </ul> </div> </span> </div> <div class="help"><h2>Examples</h2> <div id="help-terms" role="table"> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Geometry">Geometry</a></span> <span class="search-explanation" role="cell" role="cell">Search for the term <em>Geometry</em> in <strong>any</strong> field. Queries are <strong>case-independent</strong>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Funct%2A">Funct*</a></span> <span class="search-explanation" role="cell"><strong>Wildcard</strong> queries are specified by <strong><u>*</u></strong> (e.g. <em>functions</em>, <em>functorial</em>, etc.). Otherwise the search is <strong>exact</strong>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=%22Topological+group%22">"Topological group"</a></span> <span class="search-explanation" role="cell"><strong>Phrases</strong> (multi-words) should be set in <u>"</u>straight quotation marks<u>"</u>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=au%3A+Bourbaki+%26+ti%3A+Algebra">au: Bourbaki & ti: Algebra</a></span> <span class="search-explanation" role="cell">Search for <strong><u>au</u>thor</strong> and <strong><u>ti</u>tle</strong>. The <strong>and-operator &</strong> is default and can be omitted.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Chebyshev+%7C+Tschebyscheff">Chebyshev | Tschebyscheff</a></span> <span class="search-explanation" role="cell">The <strong>or-operator |</strong> allows to search for <em>Chebyshev</em> or <em>Tschebyscheff</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Quasi%2A+map%2A+py%3A+1989">Quasi* map* py: 1989</a></span> <span class="search-explanation" role="cell">The resulting documents have <strong><u>p</u>ublication <u>y</u>ear</strong> <em>1989</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=so%3A+Eur%2A+J%2A+Mat%2A+Soc%2A+cc%3A+14">so: Eur* J* Mat* Soc* cc: 14</a></span> <span class="search-explanation" role="cell">Search for publications in a particular <strong><u>so</u>urce</strong> with a <strong>Mathematics Subject <u>C</u>lassification <u>c</u>ode (<u>cc</u>)</strong> in <em>14</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=%22Partial+diff%2A+eq%2A%22+%21+elliptic">"Partial diff* eq*" ! elliptic</a></span> <span class="search-explanation" role="cell">The <strong>not</strong>-operator <strong>!</strong> eliminates all results containing the word <em>elliptic</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=dt%3A+b+%26+au%3A+Hilbert">dt: b & au: Hilbert</a></span> <span class="search-explanation" role="cell">The <strong><u>d</u>ocument <u>t</u>ype</strong> is set to books; alternatively: <u>j</u> for <strong>journal articles</strong>, <u>a</u> for <strong>book articles</strong>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=py%3A+2000-2015+cc%3A+%2894A+%7C+11T%29">py: 2000-2015 cc: (94A | 11T)</a></span> <span class="search-explanation" role="cell">Number <strong>ranges</strong> are accepted. Terms can be grouped within <strong><u>(</u>parentheses<u>)</u></strong>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=la%3A+chinese">la: chinese</a></span> <span class="search-explanation" role="cell">Find documents in a given <strong><u>la</u>nguage</strong>. <a href="http://en.wikipedia.org/wiki/ISO_639-1">ISO 639-1</a> language codes can also be used.</span> </div> </div> <div id="help-fields"> <h2>Fields</h2> <table> <tr> <td class="nowrap padding" role="rowheader"><strong>any</strong></td> <td class="padding">anywhere</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>an</strong></td> <td class="padding">internal document identifier</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>au</strong></td> <td class="padding">author, editor</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>ai</strong></td> <td class="padding">internal author identifier</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>ti</strong></td> <td class="padding">title</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>la</strong></td> <td class="padding">language</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>so</strong></td> <td class="padding">source</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>ab</strong></td> <td class="padding">review, abstract</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>py</strong></td> <td class="padding">publication year</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>rv</strong></td> <td class="padding">reviewer</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>cc</strong></td> <td class="padding">MSC code</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>ut</strong></td> <td class="padding">uncontrolled term</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>dt</strong></td> <td class="padding" colspan="4">document type (<strong>j</strong>: journal article; <strong>b</strong>: book; <strong>a</strong>: book article)</td> </tr> </table> </div> <div id="help-operators"> <h2>Operators</h2> <table> <tr> <td class="nowrap padding" role="rowheader">a <strong>&</strong> b</td> <td class="padding">logic and</td> </tr> <tr> <td class="nowrap padding" role="rowheader">a <strong>|</strong> b</td> <td class="padding">logic or</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>!</strong>ab</td> <td class="padding">logic not</td> </tr> <tr> <td class="nowrap padding" role="rowheader">abc<strong>*</strong></td> <td class="padding">right wildcard</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>"</strong>ab c<strong>"</strong></td> <td class="padding">phrase</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>(</strong>ab c<strong>)</strong></td> <td class="padding">parentheses</td> </tr> </table> </div> <p> See also our <a href="/general-help/">General Help</a>. </p></div> </div> </form> <div class="clearfix"></div> </div> <div class="content-shadow"></div> </div> </div> <div id="body"> <div id="main"> <div class="messages"> </div> <div id="documents"> <div class="content-main"> <div class="content-item"><div class="item"> <article> <div class="author"><a href="/authors/xia.weifeng" title="Author Profile">Xia, Weifeng</a>; <a href="/authors/li.yongmin" title="Author Profile">Li, Yongmin</a>; <a href="/authors/chu.yuming" title="Author Profile">Chu, Yuming</a>; <a href="/authors/xu.shengyuan" title="Author Profile">Xu, Shengyuan</a>; <a href="/authors/chen.weimin.4" title="Author Profile">Chen, Weimin</a>; <a href="/authors/zhang.zhengqiang.2" title="Author Profile">Zhang, Zhengqiang</a></div> <h2 class="title"> <strong>Observer-based mixed passive and $H_\infty$ control for uncertain Markovian jump systems with time delays using quantized measurements.</strong> <i>(English)</i> <a class="label nowrap" href="/1408.93059">Zbl 1408.93059</a> </h2> <div class="source"> <a href="/serials/6208" title="Journal Profile">Nonlinear Anal., Hybrid Syst.</a> <a href="/?q=in%3A429227" title="Articles in this Issue">31, 233-246 (2019)</a>. </div> <div class="abstract">Summary: This paper is concerned with the observer-based control problem for Markovian jump delay systems with parameter uncertainties using quantized measurements. The parameter uncertainties are assumed to be norm bounded. The aim is to design a suitable observer-based controller which guarantees the stochastic stability of the resulting closed-loop system with a prescribed mixed passivity and $H_\infty$ performance index. A novel stability criterion is obtained by constructing a mode-dependent Lyapunov-Krasovskii functional based on the delay-partitioning technique. Then, with the novel stability criterion, sufficient conditions for the solvability of the presented observer-based controller design problem are derived. All the results obtained in this paper can be tackled by a feasibility problem in terms of linear matrix inequalities. Finally, three numerical examples are provided to illustrate the effectiveness of the proposed methods.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A7032482">Cited in <strong>29</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A93B36" title="MSC2020">93B36</a> </td> <td class="space"> $H^\infty$-control </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A93E15" title="MSC2020">93E15</a> </td> <td class="space"> Stochastic stability in control theory </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A93C41" title="MSC2020">93C41</a> </td> <td class="space"> Control/observation systems with incomplete information </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A93C15" title="MSC2020">93C15</a> </td> <td class="space"> Control/observation systems governed by ordinary differential equations </td> </tr><tr> <td class="mono"> 60J75 </td> <td class="space"> Jump processes (MSC2010) </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3AMarkovian+jump+systems">Markovian jump systems</a>; <a href="/?q=ut%3Aobserver">observer</a>; <a href="/?q=ut%3Amixed+passivity+and+%5C%28H_%5Cinfty%5C%29+performance">mixed passivity and $H_\infty$ performance</a>; <a href="/?q=ut%3Aquantizer">quantizer</a>; <a href="/?q=ut%3Aparameter+uncertainties">parameter uncertainties</a></div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1408.93059" data-ciurl="/ci/07032482" data-biburl="/bibtex/07032482.bib" data-amsurl="/amsrefs/07032482.bib" data-xmlurl="/xml/07032482.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07032482.pdf" title="Zbl 1408.93059 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.nahs.2018.09.003" aria-label="DOI for “Observer-based mixed passive and $H_\infty$ control for uncertain Markovian jump systems with time delays using quantized measurements”" title="10.1016/j.nahs.2018.09.003">DOI</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Wu, Z.; Shi, P.; Su, H.; Chu, J., Asynchronous $l_2 - l_\infty$ filtering for discrete-time stochastic Markov jump systems with randomly occurred sensor nonlinearities, Automatica, 50, 1, 180-186 (2014) · <a href="/1417.93317" class="nowrap">Zbl 1417.93317</a></td> </tr><tr> <td>[2]</td> <td class="space">Xiao, N.; Xie, L.; Fu, M., Stabilization of Markov jump linear systems using quantized state feedback, Automatica, 46, 10, 1696-1702 (2010) · <a href="/1204.93127" class="nowrap">Zbl 1204.93127</a></td> </tr><tr> <td>[3]</td> <td class="space">Fei, Z.; Gao, H.; Shi, P., New results on stabilization of Markovian jump systems with time delay, Automatica, 45, 10, 2300-2306 (2009) · <a href="/1179.93170" class="nowrap">Zbl 1179.93170</a></td> </tr><tr> <td>[4]</td> <td class="space">Cheng, J.; Park, J. H.; Karimi, H. R.; Zhao, X., Static output feedback control of nonhomogeneous Markovian jump systems with asynchronous time delays, Inf. Sci., 399, 219-238 (2017) · <a href="/1432.93103" class="nowrap">Zbl 1432.93103</a></td> </tr><tr> <td>[5]</td> <td class="space">Zhang, L.; Zhu, Y.; Shi, P.; Zhao, Y., Resilient asynchronous $H_\infty$ filtering for Markov jump neural networks with unideal measurements and multiplicative noises, IEEE Trans. Cybern., 45, 12, 2840-2852 (2015)</td> </tr><tr> <td>[6]</td> <td class="space">Zong, G.; Yang, D.; Hou, L.; Wang, Q., Robust finite-time $H_\infty$ control for Markovian jump systems with partially known transition probabilities, J. Franklin Inst., 350, 6, 1562-1578 (2013) · <a href="/1293.93773" class="nowrap">Zbl 1293.93773</a></td> </tr><tr> <td>[7]</td> <td class="space">Chen, W.; Wang, L., Delay-dependent $H_\infty$ filtering of uncertain Markovian jump delay systems via delay-partitioning approach, J. Franklin Inst., 351, 3, 1431-1452 (2014) · <a href="/1395.93529" class="nowrap">Zbl 1395.93529</a></td> </tr><tr> <td>[8]</td> <td class="space">Zhang, Z.; Xu, S.; Zhang, B., Exact tracking control of nonlinear systems with time delays and dead-zone input, Automatica, 52, 272-276 (2015) · <a href="/1309.93089" class="nowrap">Zbl 1309.93089</a></td> </tr><tr> <td>[9]</td> <td class="space">Xu, S.; Lam, J.; Mao, X., Delay-dependent $H_\infty$ control and filtering for uncertain Markovian jump systems with time-varying delays, IEEE Trans. Circuits Syst. I. Regul. Pap., 54, 9, 2070-2077 (2007) · <a href="/1374.93134" class="nowrap">Zbl 1374.93134</a></td> </tr><tr> <td>[10]</td> <td class="space">Zhao, X.; Zeng, Q., Delay-dependent $H_\infty$ performance analysis and filtering for Markovian jump systems with interval time-varying delays, Internat. J. Adapt. Control Signal Process., 24, 633-642 (2010) · <a href="/1204.93123" class="nowrap">Zbl 1204.93123</a></td> </tr><tr> <td>[11]</td> <td class="space">Zhang, B.; Zheng, W.; Xu, S., On robust $H_\infty$ filtering of uncertain Markovian jump time-delay systems, Internat. J. Adapt. Control Signal Process., 26, 1-157 (2012) · <a href="/1417.93318" class="nowrap">Zbl 1417.93318</a></td> </tr><tr> <td>[12]</td> <td class="space">Ma, Y.; Jia, X.; Zhang, Q., Robust observer-based finite-time $H_\infty$ control for discrete-time singular Markovian jumping system with time delay and actuator saturation, Nonlinear Anal. Hybrid Syst., 28, 1-22 (2018) · <a href="/1380.93104" class="nowrap">Zbl 1380.93104</a></td> </tr><tr> <td>[13]</td> <td class="space">Zhang, B.; Zheng, W.; Xu, S., Filtering of Markovian jump delay systems based on a new performance index, IEEE Trans. Circuits Syst. I. Regul. Pap., 60, 5, 1250-1263 (2013) · <a href="/1468.94288" class="nowrap">Zbl 1468.94288</a></td> </tr><tr> <td>[14]</td> <td class="space">Yan, Z.; Park, J. H.; Zhang, W., Finite-time guaranteed cost control for Itô stochastic Markovian jump systems with incomplete transition rates, Internat. J. Robust Nonlinear Control, 27, 66-83 (2017) · <a href="/1353.93119" class="nowrap">Zbl 1353.93119</a></td> </tr><tr> <td>[15]</td> <td class="space">Wang, T.; Wang, Y.; Wang, H., Observer-based $H_\infty$ control for continuous-time networked control systems, Asian J. Control, 18, 2, 581-594 (2016) · <a href="/1346.93155" class="nowrap">Zbl 1346.93155</a></td> </tr><tr> <td>[16]</td> <td class="space">Liu, H.; Shen, Y.; Zhao, X., Delay-dependent observer-based $H_\infty$ finite-time control for switched systems with time-varying delay, Nonlinear Anal. Hybrid Syst., 6, 885-898 (2012) · <a href="/1244.93045" class="nowrap">Zbl 1244.93045</a></td> </tr><tr> <td>[17]</td> <td class="space">Zhang, Z.; Xu, S.; Shen, H., Reduced-order observer-based output-feedback tracking control of nonlinear systems with state delay and disturbance, Internat. J. Robust Nonlinear Control, 20, 15, 1723-1738 (2010) · <a href="/1204.93062" class="nowrap">Zbl 1204.93062</a></td> </tr><tr> <td>[18]</td> <td class="space">Gassara, H.; El Hajjaji, A.; Chaabane, M., Observer-based robust $H_\infty$ reliable control for uncertain T-S fuzzy systems with state time delay, IEEE Trans. Fuzzy Syst., 18, 6, 1027-1040 (2010)</td> </tr><tr> <td>[19]</td> <td class="space">Zhou, J.; Park, J. H.; Ma, Q., Non-fragile observer-based $H_\infty$ control for stochastic time-delay systems, Appl. Math. Comput., 291, 69-83 (2016) · <a href="/1410.93117" class="nowrap">Zbl 1410.93117</a></td> </tr><tr> <td>[20]</td> <td class="space">He, S., Non-fragile passive controller design for nonlinear Markovian jumping systems via observer-based controls, Neurocomputing, 147, 350-357 (2015)</td> </tr><tr> <td>[21]</td> <td class="space">Zhang, J.; Shi, P.; Lin, W., Extended sliding mode observer based control for Markovian jump linear systems with disturbances, Automatica, 70, 140-147 (2016) · <a href="/1339.93119" class="nowrap">Zbl 1339.93119</a></td> </tr><tr> <td>[22]</td> <td class="space">Li, H.; Shi, P.; Yao, D.; Wu, L., Observer-based adaptive sliding mode control for nonlinear Markovian jump systems, Automatica, 64, 133-142 (2016) · <a href="/1329.93126" class="nowrap">Zbl 1329.93126</a></td> </tr><tr> <td>[23]</td> <td class="space">Kao, Y.; Xie, J.; Wang, C.; Karimic, H. R., A sliding mode approach to $H_\infty$ non-fragile observer-based control design for uncertain Markovian neutral-type stochastic systems, Automatica, 52, 218-226 (2015) · <a href="/1309.93038" class="nowrap">Zbl 1309.93038</a></td> </tr><tr> <td>[24]</td> <td class="space">Zong, G.; Xu, S.; Wu, Y., Robust $H_\infty$ stabilization for uncertain switched impulsive control systems with state delay: An LMI approach, Nonlinear Anal. Hybrid Syst., 2, 4, 1287-1300 (2008) · <a href="/1163.93386" class="nowrap">Zbl 1163.93386</a></td> </tr><tr> <td>[25]</td> <td class="space">Xu, S.; Feng, G., New results on $H_\infty$ control of discrete singularly perturbed systems, Automatica, 45, 10, 2339-2343 (2009) · <a href="/1179.93071" class="nowrap">Zbl 1179.93071</a></td> </tr><tr> <td>[26]</td> <td class="space">Song, J.; He, S.; Ding, Z.; Liu, F., A new iterative algorithm for solving $H_\infty$ control problem of continuous-time Markovian jumping linear systems based on online implementation, Internat. J. Robust Nonlinear Control, 26, 3737-3754 (2016) · <a href="/1351.93055" class="nowrap">Zbl 1351.93055</a></td> </tr><tr> <td>[27]</td> <td class="space">Sakthivel, R.; Sundareswari, K.; Mathiyalagan, K.; Srimanta, S., Reliable $H_\infty$ stabilization of fuzzy systems with random delay via nonlinear retarded control, Circuits Systems Signal Process., 35, 1123-1145 (2016) · <a href="/1346.93153" class="nowrap">Zbl 1346.93153</a></td> </tr><tr> <td>[28]</td> <td class="space">Bemporad, A.; Bianchini, G.; Brogi, F., Passivity analysis and passification of discrete-time hybrid systems, IEEE Trans. Automat. Control, 54, 3, 1004-1009 (2008) · <a href="/1367.93337" class="nowrap">Zbl 1367.93337</a></td> </tr><tr> <td>[29]</td> <td class="space">Gao, H.; Chen, T.; Chai, T., Passivity and passification for networked control systems, SIAM J. Control Optim., 46, 4, 1299-1322 (2007) · <a href="/1140.93425" class="nowrap">Zbl 1140.93425</a></td> </tr><tr> <td>[30]</td> <td class="space">Zhang, B.; Zheng, W.; Xu, S., Passivity analysis and passive control of fuzzy systems with time-varying delays, Fuzzy Sets and Systems, 174, 1, 83-98 (2011) · <a href="/1221.93063" class="nowrap">Zbl 1221.93063</a></td> </tr><tr> <td>[31]</td> <td class="space">Jia, H.; Xiang, Z.; Karimi, H., Robust reliable passive control of uncertain stochastic switched time-delay systems, Appl. Math. Comput., 231, 254-267 (2014) · <a href="/1410.93109" class="nowrap">Zbl 1410.93109</a></td> </tr><tr> <td>[32]</td> <td class="space">Wu, Z.; Park, J. H.; Su, H.; Song, B.; Chu, J., Mixed $H_\infty$ and passive filtering for singular systems with time delays, Signal Process., 93, 1705-1711 (2013)</td> </tr><tr> <td>[33]</td> <td class="space">Mathiyalagan, K.; Park, J. H.; Sakthivel, R.; Marshal, S., Robust mixed $H_\infty$ and passive filtering for networked Markov jump systems with impulses, Signal Process., 101, 162-173 (2014)</td> </tr><tr> <td>[34]</td> <td class="space">Sakthivel, R.; Joby, M.; Mathiyalagan, K.; Marshal, S., Fault-tolerant sampled-data mixed $H_\infty$ and passivity control of stochastic systems and its application, Complexity, 21, 6, 420-429 (2016)</td> </tr><tr> <td>[35]</td> <td class="space">Shen, H.; Wu, Z.; Park, J. H., Reliable mixed passive and $H_\infty$ filtering for semi-Markov jump systems with randomly occurring uncertainties and sensor failures, Internat. J. Robust Nonlinear Control, 25, 3231-3251 (2015) · <a href="/1338.93378" class="nowrap">Zbl 1338.93378</a></td> </tr><tr> <td>[36]</td> <td class="space">Shen, H.; Su, L.; Park, J. H., Extended passive filtering for discrete-time singular Markov jump systems with time-varying delays, Signal Process., 128, 68-77 (2016)</td> </tr><tr> <td>[37]</td> <td class="space">Shi, P.; Zhang, Y.; Chadli, M.; Agarwal, K., Mixed $H_\infty$ and passive filtering for discrete fuzzy neural networks with stochastic jumps and time delays, IEEE Trans. Neural Netw. Learn. Syst., 27, 4, 903-909 (2016)</td> </tr><tr> <td>[38]</td> <td class="space">Qiu, J.; Feng, G.; Gao, H., Observer-based piecewise affine output feedback controller synthesis of continuous-time T-S fuzzy affine dynamic systems using quantized measurements, IEEE Trans. Fuzzy Syst., 20, 6, 1046-1062 (2012)</td> </tr><tr> <td>[39]</td> <td class="space">Lu, R.; Yang, P.; Bai, J.; Xue, K., Quantized observer-based sliding mode control for networked control systems via the time-delay approach, Circuits Systems Signal Process., 35, 1563-1577 (2016) · <a href="/1346.93186" class="nowrap">Zbl 1346.93186</a></td> </tr><tr> <td>[40]</td> <td class="space">Li, J.; Park, J. H.; Ye, D., Fault detection filter design for switched systems with quantisation effects and packet dropout, IET Control Theory Appl., 11, 182-193 (2017)</td> </tr><tr> <td>[41]</td> <td class="space">K. Gu, An integral inequality in the stability problem of time-delay systems, in: Proc. 39th IEEE Conf. Decis. Control, 2000, pp. 2805-2810.; K. Gu, An integral inequality in the stability problem of time-delay systems, in: Proc. 39th IEEE Conf. Decis. Control, 2000, pp. 2805-2810.</td> </tr><tr> <td>[42]</td> <td class="space">Cao, Y.; Lam, J., Robust $H_\infty$ control of uncertain Markovian jump systems with time-delay, IEEE Trans. Automat. Control, 45, 1, 77-83 (2000) · <a href="/0983.93075" class="nowrap">Zbl 0983.93075</a></td> </tr><tr> <td>[43]</td> <td class="space">Zhuang, G.; Xu, S.; Zhang, B.; Xu, H.; Chu, Y., Robust $H_\infty$ deconvolution filtering for uncertain singular Markovian jump systems with time-varying delays, Internat. J. Robust Nonlinear Control, 26, 2564-2585 (2016) · <a href="/1346.93388" class="nowrap">Zbl 1346.93388</a></td> </tr><tr> <td>[44]</td> <td class="space">Zhao, J.; Wang, J.; Park, J. H., Memory feedback controller design for stochastic Markov jump distributed delay systems with input saturation and partially known transition rates, Nonlinear Anal. Hybrid Syst., 15, 52-62 (2015) · <a href="/1301.93153" class="nowrap">Zbl 1301.93153</a></td> </tr><tr> <td>[45]</td> <td class="space">Wang, G.; Zhang, Q., Robust control of uncertain singular stochastic systems with Markovian switching via proportional derivative state feedback, IET Control Theory Appl., 6, 1089-1096 (2012)</td> </tr><tr> <td>[46]</td> <td class="space">Zhu, Y.; Zhong, Z.; Zheng, W. X.; Zhou, D., HMM-based $H_\infty$ filtering for discrete-time Markov jump LPV systems over unreliable communication channels, IEEE Trans. Syst. Man, Cybern. Syst. (2017)</td> </tr></table> <div class="reference_disclaimer"> This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching. </div> </div></article> </div></div> </div> </div> <div class="clearfix"></div> </div> </div> <div id="foot"><div class="copyright"> © 2025 <a target="fiz" href="https://www.fiz-karlsruhe.de/en">FIZ Karlsruhe GmbH</a> <a href="/privacy-policy/">Privacy Policy</a> <a href="/legal-notices/">Legal Notices</a> <a href="/terms-conditions/">Terms & Conditions</a> <div class="info"> <ul class="nav"> <li class="mastodon"> <a href="https://mathstodon.xyz/@zbMATH" target="_blank" class="no-new-tab-icon"> <img src="/static/mastodon.png" title="zbMATH at Mathstodon (opens in new tab)" alt="Mastodon logo"> </a> </li> </ul> </div> </div> <div class="clearfix" style="height: 0px;"></div> </div> </div> <script src="https://static.zbmath.org/contrib/jquery/1.9.1/jquery.min.js"></script> <script src="https://static.zbmath.org/contrib/jquery-caret/1.5.2/jquery.caret.min.js"></script> <script src="/static/js/jquery-ui-1.10.1.custom.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap/v3.3.7zb1/js/bootstrap.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-lightbox/v0.7.0/bootstrap-lightbox.min.js"></script> <script src="https://static.zbmath.org/contrib/retina/unknown/retina.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-select/v1.13.14/js/bootstrap-select.min.js"></script> <script> var SCRIPT_ROOT = ""; </script> <script src="/static/scripts.js?v=20240926"> </script> <script src="https://static.zbmath.org/contrib/mathjax/2.7.1/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script> <script type="text/x-mathjax-config"> MathJax.Hub.Config({ "HTML-CSS": { preferredFont: "TeX", availableFonts: [ "STIX", "TeX" ], linebreaks: { automatic: true }, EqnChunk: (MathJax.Hub.Browser.isMobile ? 10 : 50) }, tex2jax: { processEscapes: true, ignoreClass: "tex2jax_ignore|dno" }, TeX: { Macros: { Aut: "\\operatorname{Aut}", Hom: "\\operatorname{Hom}" }, noUndefined: { attributes: { mathcolor: "#039", //"red", mathbackground: "white", //"#FFEEEE", mathsize: "90%" } } }, messageStyle: "none" }); </script> <script type="text/javascript"> $(document).ready(function() { $("#MathInput").stop(true, true).keyup(function() { $.ajax({ url: "/mwsq/", type: "POST", data: { query : $("#MathInput").val() }, dataType: "text" }) .done(function(xml) { $("#MathPreview").html(xml); $(window).resize(); }); }); var press = jQuery.Event("keyup"); press.ctrlKey = false; press.which = 40; $("#MathInput").trigger(press); }); </script> <div id="new_tab_icon" style="display: none"> <span class="glyphicon glyphicon-new-window" aria-hidden="true"></span><span class="sr-only">(opens in new tab)</span></div> </body> </html>

CINXE.COM

Document Zbl 1408.93059 - zbMATH Open