Document Zbl 1347.93171

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Franklin Inst.</a> <a href="/?q=in%3A359875" title="Articles in this Issue">353, No. 8, 1829-1847 (2016)</a>. </div> <div class="abstract">Summary: In this paper, by proposing a sampled-data feedback control scheme, we investigate the sampled-data control problem for exponential synchronization of complex dynamical systems with coupling delay. Through constructing a novel Lyapunov functional, which takes a full consideration of the information of $t-t_k$ and $t_{k+1}-t$, $\forall t\in[t_k,t_{k+1})$, a new sufficient synchronization criterion is obtained based on the Lyapunov stability theory. Further, we consider the extended dissipativity analysis problem, which contains the $H_\infty$ performance, passivity performance, dissipativity performance and $L_2-L_\infty$ performance in a unified framework, and a sufficient condition in terms of strict LMIs is derived. Finally, simulation examples are employed to demonstrate the effectiveness and the reduced conservatism of the proposed method.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A6641236">Cited in <strong>20</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A93C57" title="MSC2020">93C57</a> </td> <td class="space"> Sampled-data control/observation systems </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A93A15" title="MSC2020">93A15</a> </td> <td class="space"> Large-scale systems </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A93A14" title="MSC2020">93A14</a> </td> <td class="space"> Decentralized systems </td> </tr><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></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Asampled-data+feedback+control">sampled-data feedback control</a>; <a href="/?q=ut%3Aexponential+synchronization">exponential synchronization</a>; <a href="/?q=ut%3Acomplex+dynamical+systems">complex dynamical systems</a>; <a href="/?q=ut%3ALyapunov+stability">Lyapunov stability</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 1347.93171" data-ciurl="/ci/06641236" data-biburl="/bibtex/06641236.bib" data-amsurl="/amsrefs/06641236.bib" data-xmlurl="/xml/06641236.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06641236.pdf" title="Zbl 1347.93171 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.jfranklin.2016.03.003" aria-label="DOI for “Extended dissipative exponential synchronization of complex dynamical systems with coupling delay and sampled-data control”" title="10.1016/j.jfranklin.2016.03.003">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">Williams, R.; Berlow, E. 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