Document Zbl 1410.93074

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Math. Comput.</a> <a href="/?q=in%3A404123" title="Articles in this Issue">261, 264-283 (2015)</a>. </div> <div class="abstract">Summary: This paper concerns with the finite-time $H_{\infty}$ control problem for a class of discrete-time switched singular time-delay with actuator saturation. Not only linear matrix inequality conditions for the systems but also average dwell-time of switching signal is given to guarantee regular, causal and finite-time boundedness for the discrete-time switched singular time-delay system. Moreover, sufficient conditions are presented to ensure the $H_{\infty}$ disturbance attenuation level, and the design method of $H_{\infty}$ controller is developed by solving linear matrix inequalities (LMI) optimization problem without any decompositions of system matrices and equivalent transformation. Furthermore, the function in the proof procedure belongs to multiple Lyapunov-like functions whose advantage lies in their flexibility. Finally, numerical examples are employed to verify the effectiveness of the proposed methods and to illustrate the significant improvement on the conservativeness of some reported results in the literature.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A6890745">Cited in <strong>42</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A93C55" title="MSC2020">93C55</a> </td> <td class="space"> Discrete-time control/observation systems </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A93B36" title="MSC2020">93B36</a> </td> <td class="space"> $H^\infty$-control </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Afinite-time+%5C%28H_%7B%5Cinfty%7D%5C%29+control">finite-time $H_{\infty}$ control</a>; <a href="/?q=ut%3Adiscrete-time+switched+systems">discrete-time switched systems</a>; <a href="/?q=ut%3Aactuator+saturation">actuator saturation</a>; <a href="/?q=ut%3Adiscrete-time+singular+time-delay+systems">discrete-time singular time-delay systems</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 1410.93074" data-ciurl="/ci/06890745" data-biburl="/bibtex/06890745.bib" data-amsurl="/amsrefs/06890745.bib" data-xmlurl="/xml/06890745.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06890745.pdf" title="Zbl 1410.93074 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.amc.2015.03.111" aria-label="DOI for “Finite-time $H_{\infty}$ control for a class of discrete-time switched singular time-delay systems subject to actuator saturation”" title="10.1016/j.amc.2015.03.111">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 Berlin · <a href="/1114.93005" class="nowrap">Zbl 1114.93005</a></td> </tr><tr> <td>[2]</td> <td class="space">Antsaklis, P., Special issue on hybrid systems: theory and applications a brief introduction to the theory and applications of hybrid systems, Proc. 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