Document Zbl 1527.93348

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J. Robust Nonlinear Control</a> <a href="/?q=in%3A505582" title="Articles in this Issue">32, No. 6, 3890-3908 (2022)</a>. </div> <div class="abstract">Summary: The article investigates robust dynamic output feedback (DOF) stabilization for uncertain time-varying delays singular Markovian jump systems (SMJSs). First, by using improved Lyapunov-Krasovskii functional, sufficient conditions of robust admissibility (namely regularity, non-impulsiveness, and asymptotic stability) for unforced nominal time-varying delays SMJSs are given. Second, by constructing a DOF controller such that the resulting closed-loop system satisfies robust admissibility, the robust DOF stabilization problem is solved in terms of linear matrix inequalities via orthogonal complement technique. Finally, the availability and practicality of the prime results are certified by two numerical examples and a practical example of the oil catalytic cracking process.<br class="zbmathjax-paragraph">{© 2022 John Wiley & Sons Ltd.}</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A7773533">Cited in <strong>4</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%3A93D21" title="MSC2020">93D21</a> </td> <td class="space"> Adaptive or robust stabilization </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%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%3Adynamic+output+feedback">dynamic output feedback</a>; <a href="/?q=ut%3AMarkovian+jump+systems">Markovian jump systems</a>; <a href="/?q=ut%3Arobust+stabilization">robust stabilization</a>; <a href="/?q=ut%3Asingular+systems">singular systems</a>; <a href="/?q=ut%3Atime-varying+delays">time-varying delays</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 1527.93348" data-ciurl="/ci/07773533" data-biburl="/bibtex/07773533.bib" data-amsurl="/amsrefs/07773533.bib" data-xmlurl="/xml/07773533.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07773533.pdf" title="Zbl 1527.93348 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/10.1002/rnc.6002" aria-label="DOI for “Robust dynamic output feedback stabilization for uncertain singular Markovian jump systems with time-varying delays”" title="10.1002/rnc.6002">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">Zhang, P.; 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