Document Zbl 1504.93314

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Control Lett.</a> <a href="/?q=in%3A491482" title="Articles in this Issue">171, Article ID 105433, 10 p. (2023)</a>. </div> <div class="abstract">Summary: This paper revisits the robust stabilization issue for uncertain singular Markovian jump systems (USMJSs) via dynamic-output-feedback (DOF) control. By establishing a new Lyapunov-Krasovskii functional with state decomposition components, some sufficient mean-square exponentially (MSE) admissible conditions (such as non-impulsiveness, regularity, and MSE stability) are obtained for the unforced nominal USMJS with time-varying delays. Then, based on the established criteria, the robust MSE admissibility of the USMJS is explored. Further, a DOF controller for the closed-loop USMJS is designed. Via applying a state decomposition recombination approach, a robust MSE stabilization criterion utilizing linear matrix inequality is derived. Meanwhile, by solving each decomposition component of the DOF controller, the desired DOF controller can be accurately determined. Finally, using two numerical examples, the superiority and feasibility of our method are demonstrated.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A7638955">Cited in <strong>3</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><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%3A93D15" title="MSC2020">93D15</a> </td> <td class="space"> Stabilization of systems by feedback </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Auncertain+singular+Markovian+jump+system">uncertain singular Markovian jump system</a>; <a href="/?q=ut%3Adynamic+output-feedback+control">dynamic output-feedback control</a>; <a href="/?q=ut%3Aadmissible">admissible</a>; <a href="/?q=ut%3Atime-varying+delay">time-varying delay</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 1504.93314" data-ciurl="/ci/07638955" data-biburl="/bibtex/07638955.bib" data-amsurl="/amsrefs/07638955.bib" data-xmlurl="/xml/07638955.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07638955.pdf" title="Zbl 1504.93314 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.sysconle.2022.105433" aria-label="DOI for “Robust stabilization for uncertain singular Markovian jump systems via dynamic output-feedback control”" title="10.1016/j.sysconle.2022.105433">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">Xu, S.; Lam, J., Robust Control and Filtering of Singular Systems (2006), Springer: Springer Berlin · <a href="/1114.93005" class="nowrap">Zbl 1114.93005</a></td> </tr><tr> <td>[2]</td> <td class="space">Dai, L., Singular control systems, (Lecture Notes in Control and Information Science, New York (1989)) · <a href="/0669.93034" class="nowrap">Zbl 0669.93034</a></td> </tr><tr> <td>[3]</td> <td class="space">Chen, W.; Xu, S.; Zou, Y., Stabilization of hybrid neutral stochastic differential delay equations by delay feedback control, Systems Control Lett., 88, 1-13 (2016) · <a href="/1336.93163" class="nowrap">Zbl 1336.93163</a></td> </tr><tr> <td>[4]</td> <td class="space">Yin, C.; Zhong, S.; Chen, W., Robust $H_\infty$ control for uncertain lure systems with sector and slope restricted nonlinearities by PD state feedback, Nonlinear Anal.-Real, 12, 501-512 (2011) · <a href="/1203.93166" class="nowrap">Zbl 1203.93166</a></td> </tr><tr> <td>[5]</td> <td class="space">Ma, Q.; Xu, S.; Zou, Y.; Lu, J., Robust stability for discrete-time stochastic genetic regulatory networks, Nonlinear Anal.-Real, 12, 2586-2595 (2011) · <a href="/1223.93094" class="nowrap">Zbl 1223.93094</a></td> </tr><tr> <td>[6]</td> <td class="space">Kushner, H., Finite-time stochastic stability and the analysis of tracking systems, IEEE Trans. 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