CINXE.COM
Document Zbl 1482.93479 - zbMATH Open
<!doctype html> <html lang="en"> <head> <meta charset="utf-8"> <title>Document Zbl 1482.93479 - 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="/1482.93479?"> <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:1482.93479" 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/sun.zongyao" title="Author Profile">Sun, Zong-Yao</a>; <a href="/authors/zhang.di" title="Author Profile">Zhang, Di</a>; <a href="/authors/meng.qinghua" title="Author Profile">Meng, Qinghua</a>; <a href="/authors/chen.chih-chiang" title="Author Profile">Chen, Chih-Chiang</a></div> <h2 class="title"> <strong>Feedback stabilisation of time-delay nonlinear systems with continuous time-varying output function.</strong> <i>(English)</i> <a class="label nowrap" href="/1482.93479">Zbl 1482.93479</a> </h2> <div class="source"> <a href="/serials/8537" title="Journal Profile">Int. J. Syst. Sci., Princ. Appl. Syst. Integr.</a> <a href="/?q=in%3A476314" title="Articles in this Issue">50, No. 2, 244-255 (2019)</a>. </div> <div class="abstract">Summary: This paper investigates the problem of global output feedback stabilisation for a class of uncertain nonlinear systems, where output function is time-varying and continuous, and multiple time delays exist in system state at the same time. A double-domination method is used to capture time-varying measurement error and delayed states. The control strategy is presented based on the choice of Lyapunov-Krasovskii functionals and the construction of a novel state observer without using the information on the output function and nonlinearities. A simulation example is given to show the efficiency of the proposed control scheme.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A7469956">Cited in <strong>26</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A93D15" title="MSC2020">93D15</a> </td> <td class="space"> Stabilization of systems by feedback </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A93C10" title="MSC2020">93C10</a> </td> <td class="space"> Nonlinear systems in control theory </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A93C43" title="MSC2020">93C43</a> </td> <td class="space"> Delay control/observation systems </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Atime-delay+nonlinear+systems">time-delay nonlinear systems</a>; <a href="/?q=ut%3Acontinuous+output+function">continuous output function</a>; <a href="/?q=ut%3Adouble-domination+approach">double-domination approach</a></div> <!-- Modal used to show zbmath metadata in different output formats--> <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;"> <!-- alert for connection errors etc --> </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"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1482.93479" data-ciurl="/ci/07469956" data-biburl="/bibtex/07469956.bib" data-amsurl="/amsrefs/07469956.bib" data-xmlurl="/xml/07469956.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07469956.pdf" title="Zbl 1482.93479 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/10.1080/00207721.2018.1543472" aria-label="DOI for “Feedback stabilisation of time-delay nonlinear systems with continuous time-varying output function”" title="10.1080/00207721.2018.1543472">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">Ai, W.; Zhai, J.; Fei, S., Universal adaptive regulation for a class of nonlinear systems with unknown time delays and output function via output feedback, Journal of the Franklin Institute, 350, 10, 3168-3187 (2013) · <a href="/1293.93435" class="nowrap">Zbl 1293.93435</a> · <a href="https://doi.org/10.1016/j.jfranklin.2013.07.012" class="nowrap">doi:10.1016/j.jfranklin.2013.07.012</a></td> </tr><tr> <td>[2]</td> <td class="space">Bresch-Pietri, D.; Krstić, M., Delay-adaptive control for nonlinear systems, IEEE Transactions on Automatic Control, 59, 5, 1203-1218 (2014) · <a href="/1360.93342" class="nowrap">Zbl 1360.93342</a> · <a href="https://doi.org/10.1109/TAC.2014.2298711" class="nowrap">doi:10.1109/TAC.2014.2298711</a></td> </tr><tr> <td>[3]</td> <td class="space">Chen, C.-C.; Qian, C.; Lin, X.-Z.; Sun, Z.-Y.; Liang, Y.-W., Smooth output feedback stabilization for a class of nonlinear systems with time-varying powers, International Journal of Robust and Nonlinear Control, 27, 18, 5113-5128 (2017) · <a href="/1381.93082" class="nowrap">Zbl 1381.93082</a> · <a href="https://doi.org/10.1002/rnc.3826" class="nowrap">doi:10.1002/rnc.3826</a></td> </tr><tr> <td>[4]</td> <td class="space">Coutinho, C. L.; Oliveira, T. R.; Cunha, J. P. V. S., Output-feedback sliding-mode control of multivariable systems with uncertain time-varying state delays and unmatched non-linearities, IET Control Theory and Applications, 7, 12, 1616-1623 (2013) · <a href="https://doi.org/10.1049/iet-cta.2013.0388" class="nowrap">doi:10.1049/iet-cta.2013.0388</a></td> </tr><tr> <td>[5]</td> <td class="space">Gao, F.; Wu, Y., Global stabilisation for a class of more general high-order time-delay nonlinear systems by output feedback, International Journal of Control, 88, 8, 1540-1553 (2015) · <a href="/1337.93070" class="nowrap">Zbl 1337.93070</a> · <a href="https://doi.org/10.1080/00207179.2015.1010178" class="nowrap">doi:10.1080/00207179.2015.1010178</a></td> </tr><tr> <td>[6]</td> <td class="space">Hale, J. K.; Lunel, S. M. V., Introduction to functional differential equations (1993), New York, NY: Springer-Verlag, New York, NY · <a href="/0787.34002" class="nowrap">Zbl 0787.34002</a></td> </tr><tr> <td>[7]</td> <td class="space">Ioannou, P. A.; Sun, J., Robust adaptive control (1996), Upper Saddle River, NJ: PTR Prentice-Hall, Upper Saddle River, NJ · <a href="/0839.93002" class="nowrap">Zbl 0839.93002</a></td> </tr><tr> <td>[8]</td> <td class="space">Khalil, H. K., Nonlinear systems (2002), Upper Saddle River, NJ: Prentice Hall, Upper Saddle River, NJ · <a href="/1003.34002" class="nowrap">Zbl 1003.34002</a></td> </tr><tr> <td>[9]</td> <td class="space">Kokotović, P.; Arcak, M., Constructive nonlinear control: A historical perspective, Automatica, 37, 5, 637-662 (2001) · <a href="/1153.93301" class="nowrap">Zbl 1153.93301</a> · <a href="https://doi.org/10.1016/S0005-1098(01)00002-4" class="nowrap">doi:10.1016/S0005-1098(01)00002-4</a></td> </tr><tr> <td>[10]</td> <td class="space">Krstić, M.; Kokotović, P. V.; Kanellakopoulos, I., Nonlinear and adaptive control design (1995), New York, NY: Wiley, New York, NY</td> </tr><tr> <td>[11]</td> <td class="space">Lei, H.; Lin, W., Universal adaptive control of nonlinear systems with unknown growth rate by output feedback, Automatica, 42, 10, 1783-1789 (2006) · <a href="/1114.93057" class="nowrap">Zbl 1114.93057</a> · <a href="https://doi.org/10.1016/j.automatica.2006.05.006" class="nowrap">doi:10.1016/j.automatica.2006.05.006</a></td> </tr><tr> <td>[12]</td> <td class="space">Li, G.; Lin, Y., Robust output feedback stabilization of nonlinear systems with low-order and high-order nonlinearities, International Journal of Robust and Nonlinear Control, 26, 9, 1919-1943 (2015) · <a href="/1342.93092" class="nowrap">Zbl 1342.93092</a> · <a href="https://doi.org/10.1002/rnc.3389" class="nowrap">doi:10.1002/rnc.3389</a></td> </tr><tr> <td>[13]</td> <td class="space">Li, J.; Qian, C.; Frye, M. T., A dual-observer design for global output feedback stabilization of nonlinear systems with low-order and high-order nonlinearities, International Journal of Robust and Nonlinear Control, 19, 15, 1697-1720 (2009) · <a href="/1298.93274" class="nowrap">Zbl 1298.93274</a> · <a href="https://doi.org/10.1002/rnc.1401" class="nowrap">doi:10.1002/rnc.1401</a></td> </tr><tr> <td>[14]</td> <td class="space">Li, T.; Sun, Z.-Y.; Yang, S.-H., Output tracking control for generalized high-order nonlinear system with serious uncertainties, International Journal of Control, 90, 2, 323-333 (2017) · <a href="/1359.93184" class="nowrap">Zbl 1359.93184</a></td> </tr><tr> <td>[15]</td> <td class="space">Li, Z.-J.; Xie, X.-J.; Zhang, K., Output feedback stabilisation for nonlinear systems with unknown output function and control coefficients and its application, International Journal of Control, 90, 5, 1027-1036 (2017) · <a href="/1366.93508" class="nowrap">Zbl 1366.93508</a> · <a href="https://doi.org/10.1080/00207179.2016.1198047" class="nowrap">doi:10.1080/00207179.2016.1198047</a></td> </tr><tr> <td>[16]</td> <td class="space">Man, Y.; Liu, Y., Global output-feedback stabilization for a class of uncertain time-varying nonlinear systems, Systems and Control Letters, 90, 4, 20-30 (2016) · <a href="/1335.93102" class="nowrap">Zbl 1335.93102</a> · <a href="https://doi.org/10.1016/j.sysconle.2015.09.014" class="nowrap">doi:10.1016/j.sysconle.2015.09.014</a></td> </tr><tr> <td>[17]</td> <td class="space">Mazenc, F.; Bliman, P.-A., Backstepping design for time-delay nonlinear systems, IEEE Transactions on Automatic Control, 51, 1, 149-154 (2006) · <a href="/1366.93211" class="nowrap">Zbl 1366.93211</a> · <a href="https://doi.org/10.1109/TAC.2005.861701" class="nowrap">doi:10.1109/TAC.2005.861701</a></td> </tr><tr> <td>[18]</td> <td class="space">Qian, C.; Lin, W., Output feedback control of a class of nonlinear systems: A nonseparation principle paradigm, IEEE Transactions on Automatic Control, 47, 10, 1710-1715 (2002) · <a href="/1364.93720" class="nowrap">Zbl 1364.93720</a> · <a href="https://doi.org/10.1109/TAC.2002.803542" class="nowrap">doi:10.1109/TAC.2002.803542</a></td> </tr><tr> <td>[19]</td> <td class="space">Qian, C.; Lin, W., Recursive observer design, homogeneous approximation, and nonsmooth output feedback stabilization of nonlinear systems, IEEE Transactions on Automatic Control, 51, 9, 1457-1471 (2006) · <a href="/1366.93523" class="nowrap">Zbl 1366.93523</a> · <a href="https://doi.org/10.1109/TAC.2006.880955" class="nowrap">doi:10.1109/TAC.2006.880955</a></td> </tr><tr> <td>[20]</td> <td class="space">Qiu, J.; Wei, Y.; Karimi, H. R.; Gao, H., Reliable control of discrete-time piecewise-affine time-delay systems via output feedback, IEEE Transactions on Reliability, 67, 1, 79-91 (2018) · <a href="https://doi.org/10.1109/TR.2017.2749242" class="nowrap">doi:10.1109/TR.2017.2749242</a></td> </tr><tr> <td>[21]</td> <td class="space">Richard, J.-P., Time-delay systems: An overview of some recent advances and open problems, Automatica, 39, 10, 1667-1694 (2003) · <a href="/1145.93302" class="nowrap">Zbl 1145.93302</a> · <a href="https://doi.org/10.1016/S0005-1098(03)00167-5" class="nowrap">doi:10.1016/S0005-1098(03)00167-5</a></td> </tr><tr> <td>[22]</td> <td class="space">Song, Z.-B.; Sun, Z.-Y.; Yang, S.-H.; Li, T., Global stabilization via nested saturation function for high-order feedforward nonlinear systems with unknown time-varying delays, International Journal of Robust and Nonlinear Control, 26, 15, 3363-3387 (2016) · <a href="/1350.93080" class="nowrap">Zbl 1350.93080</a> · <a href="https://doi.org/10.1002/rnc.3512" class="nowrap">doi:10.1002/rnc.3512</a></td> </tr><tr> <td>[23]</td> <td class="space">Su, Z.; Qian, C.; Shen, J., Interval homogeneity-based control for a class of nonlinear systems with unknown power drifts, IEEE Transactions on Automatic Control, 62, 3, 1445-1450 (2017) · <a href="/1366.93261" class="nowrap">Zbl 1366.93261</a> · <a href="https://doi.org/10.1109/TAC.2016.2575819" class="nowrap">doi:10.1109/TAC.2016.2575819</a></td> </tr><tr> <td>[24]</td> <td class="space">Sun, Z.-Y.; Li, T.; Yang, S.-H., A unified time-varying feedback approach and its applications in adaptive stabilization of high-order uncertain nonlinear systems, Automatica, 70, 8, 249-257 (2016) · <a href="/1339.93098" class="nowrap">Zbl 1339.93098</a> · <a href="https://doi.org/10.1016/j.automatica.2016.04.010" class="nowrap">doi:10.1016/j.automatica.2016.04.010</a></td> </tr><tr> <td>[25]</td> <td class="space">Sun, Z.-Y.; Liu, Z.-G.; Zhang, X.-H., New results on global stabilization for time-delay nonlinear systems with low-order and high-order growth conditions, International Journal of Robust and Nonlinear Control, 25, 6, 878-899 (2015) · <a href="/1309.93123" class="nowrap">Zbl 1309.93123</a> · <a href="https://doi.org/10.1002/rnc.3115" class="nowrap">doi:10.1002/rnc.3115</a></td> </tr><tr> <td>[26]</td> <td class="space">Sun, Z.-Y.; Shao, Y.; Chen, C.-C.; Meng, Q., Global output-feedback stabilization for stochastic nonlinear systems: A double-domination approach, International Journal of Robust and Nonlinear Control, 28, 15, 4635-4646 (2018) · <a href="/1401.93219" class="nowrap">Zbl 1401.93219</a></td> </tr><tr> <td>[27]</td> <td class="space">Sun, Z.-Y.; Xue, L.-R.; Zhang, K., A new approach to finite-time adaptive stabilization of high-order uncertain nonlinear system, Automatica, 58, 8, 60-66 (2015) · <a href="/1330.93208" class="nowrap">Zbl 1330.93208</a> · <a href="https://doi.org/10.1016/j.automatica.2015.05.005" class="nowrap">doi:10.1016/j.automatica.2015.05.005</a></td> </tr><tr> <td>[28]</td> <td class="space">Sun, Z.-Y.; Yang, S.-H.; Li, T., Global adaptive stabilization for high-order uncertain time-varying nonlinear systems with time-delays, International Journal of Robust and Nonlinear Control, 27, 13, 2198-2217 (2017) · <a href="/1371.93175" class="nowrap">Zbl 1371.93175</a> · <a href="https://doi.org/10.1002/rnc.3678" class="nowrap">doi:10.1002/rnc.3678</a></td> </tr><tr> <td>[29]</td> <td class="space">Sun, Z.-Y.; Yun, M.-M.; Li, T., A new approach to fast global finite-time stabilization of high-order nonlinear system, Automatica, 81, 6, 455-463 (2017) · <a href="/1372.93161" class="nowrap">Zbl 1372.93161</a> · <a href="https://doi.org/10.1016/j.automatica.2017.04.024" class="nowrap">doi:10.1016/j.automatica.2017.04.024</a></td> </tr><tr> <td>[30]</td> <td class="space">Sun, Z.-Y.; Zhang, C.-H.; Wang, Z., Adaptive disturbance attenuation for generalized high-order uncertain nonlinear systems, Automatica, 80, 6, 102-109 (2017) · <a href="/1370.93101" class="nowrap">Zbl 1370.93101</a> · <a href="https://doi.org/10.1016/j.automatica.2017.02.036" class="nowrap">doi:10.1016/j.automatica.2017.02.036</a></td> </tr><tr> <td>[31]</td> <td class="space">Wang, N.; Qian, C.; Sun, Z.-Y., Global asymptotic output tracking of nonlinear second-order systems with power integrators, Automatica, 80, 6, 156-161 (2017) · <a href="/1370.93082" class="nowrap">Zbl 1370.93082</a> · <a href="https://doi.org/10.1016/j.automatica.2017.02.026" class="nowrap">doi:10.1016/j.automatica.2017.02.026</a></td> </tr><tr> <td>[32]</td> <td class="space">Wang, T.; Qiu, J.; Gao, H., Adaptive neural control of stochastic nonlinear time-delay systems with multiple constraints, IEEE Transactions on Systems, Man, and Cybernetics: Systems, 47, 8, 1875-1883 (2017) · <a href="https://doi.org/10.1109/TSMC.2016.2562511" class="nowrap">doi:10.1109/TSMC.2016.2562511</a></td> </tr><tr> <td>[33]</td> <td class="space">Wang, T.; Qiu, J.; Yin, S.; Gao, H.; Fan, J.; Chai, T., Performance-based adaptive fuzzy tracking control for networked industrial processes, IEEE Transactions on Cybernetics, 46, 8, 1760-1770 (2016) · <a href="https://doi.org/10.1109/TCYB.2016.2551039" class="nowrap">doi:10.1109/TCYB.2016.2551039</a></td> </tr><tr> <td>[34]</td> <td class="space">Wang, T.; Zhang, Y.; Qiu, J.; Gao, H., Adaptive fuzzy backstepping control for a class of nonlinear systems with sampled and delayed measurements, IEEE Transactions on Fuzzy Systems, 23, 2, 302-312 (2015) · <a href="https://doi.org/10.1109/TFUZZ.2014.2312026" class="nowrap">doi:10.1109/TFUZZ.2014.2312026</a></td> </tr><tr> <td>[35]</td> <td class="space">Wei, Y.; Park, J. H.; Qiu, J.; Wu, L.; Jung, H. Y., Sliding mode control for semi-Markovian jump systems via output feedback, Automatica, 81, 7, 133-141 (2017) · <a href="/1376.93029" class="nowrap">Zbl 1376.93029</a> · <a href="https://doi.org/10.1016/j.automatica.2017.03.032" class="nowrap">doi:10.1016/j.automatica.2017.03.032</a></td> </tr><tr> <td>[36]</td> <td class="space">Wei, Y.; Qiu, J.; Shi, P.; Chadli, M., Fixed-order piecewise-affine output feedback controller for fuzzy-affine-model-based nonlinear systems with time-varying delay, IEEE Transactions on Circuits and Systems I: Regular Papers, 64, 4, 945-958 (2017) · <a href="https://doi.org/10.1109/TCSI.2016.2632718" class="nowrap">doi:10.1109/TCSI.2016.2632718</a></td> </tr><tr> <td>[37]</td> <td class="space">Yang, S.-H.; Sun, Z.-Y.; Wang, Z.; Li, T., A new approach to global stabilization of high-order time-delay uncertain nonlinear systems via time-varying feedback and homogeneous domination, Journal of the Franklin Institute, 355, 14, 6469-6492 (2018) · <a href="/1398.93291" class="nowrap">Zbl 1398.93291</a> · <a href="https://doi.org/10.1016/j.jfranklin.2018.05.063" class="nowrap">doi:10.1016/j.jfranklin.2018.05.063</a></td> </tr><tr> <td>[38]</td> <td class="space">Zha, W.; Qian, C.; Zhai, J.; Fei, S., Robust control for a class of nonlinear systems with unknown measurement drifts, Automatica, 71, 9, 33-37 (2016) · <a href="/1343.93029" class="nowrap">Zbl 1343.93029</a> · <a href="https://doi.org/10.1016/j.automatica.2016.04.018" class="nowrap">doi:10.1016/j.automatica.2016.04.018</a></td> </tr><tr> <td>[39]</td> <td class="space">Zhai, J.; Qian, C., Global control of nonlinear systems with uncertain output function using homogeneous domination approach, International Journal of Robust and Nonlinear Control, 22, 14, 1543-1561 (2012) · <a href="/1274.93230" class="nowrap">Zbl 1274.93230</a> · <a href="https://doi.org/10.1002/rnc.1765" class="nowrap">doi:10.1002/rnc.1765</a></td> </tr><tr> <td>[40]</td> <td class="space">Zhang, X.; Baron, L.; Liu, Q.; Boukas, E.-K., Design of stabilizing controllers with a dynamic gain for feedforward nonlinear time-delay systems, IEEE Transactions on Automatic Control, 56, 3, 692-697 (2011) · <a href="/1368.93587" class="nowrap">Zbl 1368.93587</a> · <a href="https://doi.org/10.1109/TAC.2010.2097150" class="nowrap">doi:10.1109/TAC.2010.2097150</a></td> </tr><tr> <td>[41]</td> <td class="space">Zhang, X.; Lin, W.; Lin, Y., Nonsmooth feedback control of time-delay nonlinear systems: A dynamic gain based approach, IEEE Transactions on Automatic Control, 62, 1, 438-444 (2017) · <a href="/1359.93382" class="nowrap">Zbl 1359.93382</a> · <a href="https://doi.org/10.1109/TAC.2016.2562059" class="nowrap">doi:10.1109/TAC.2016.2562059</a></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>