Document Zbl 1410.93090

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Math. Comput.</a> <a href="/?q=in%3A430031" title="Articles in this Issue">276, 143-157 (2016)</a>. </div> <div class="abstract">Summary: In this paper, the problem of finite-time control is addressed for a class of interconnected impulsive switched systems with time-varying delay and dynamical disturbance. The concepts of finite-time stability and finite-time boundedness are extended to interconnected impulsive switched systems, respectively. By resorting to the average dwell time approach and constructing an appropriate Lyapunov-Krasovskii functional, some sufficient criteria are provided to cope with the problems of finite-time boundedness and finite-time stability. Then, based on the decentralized switched control scheme, a state-feedback controller is established to ensure the finite-time stability and the finite-time boundedness. Finally, an example and simulation result are demonstrated to illustrate the correctness and effectiveness of the proposed method.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A7039575">Cited in <strong>23</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A93D05" title="MSC2020">93D05</a> </td> <td class="space"> Lyapunov and other classical stabilities (Lagrange, Poisson, $L^p, l^p$, etc.) in control theory </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A34K20" title="MSC2020">34K20</a> </td> <td class="space"> Stability theory of functional-differential equations </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A34K34" title="MSC2020">34K34</a> </td> <td class="space"> Hybrid systems of functional-differential equations </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Ainterconnected+impulsive+switched+systems">interconnected impulsive switched systems</a>; <a href="/?q=ut%3Atime-varying+delay">time-varying delay</a>; <a href="/?q=ut%3Afinite-time+stability">finite-time stability</a>; <a href="/?q=ut%3Afinite-time+boundedness">finite-time boundedness</a>; <a href="/?q=ut%3Aaverage+dwell+time+approach">average dwell time approach</a>; <a href="/?q=ut%3Adecentralized+switched+control">decentralized switched control</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 1410.93090" data-ciurl="/ci/07039575" data-biburl="/bibtex/07039575.bib" data-amsurl="/amsrefs/07039575.bib" data-xmlurl="/xml/07039575.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07039575.pdf" title="Zbl 1410.93090 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.2015.12.012" aria-label="DOI for “Finite-time control of interconnected impulsive switched systems with time-varying delay”" title="10.1016/j.amc.2015.12.012">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">Dorato, P., Short time stability in linear time-varying systems, Proceedings of the IRE International Convention Record Part 4, 83-87 (1961), New York</td> </tr><tr> <td>[2]</td> <td class="space">Amato, F.; Ariola, M.; Abdallah, C. 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