Document Zbl 07966981

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Control Optim.</a> <a href="/?q=in%3A522516" title="Articles in this Issue">63, No. 1, 1-25 (2025)</a>. </div> <div class="abstract"><div class="pre">Summary: This paper presents a synchronization criterion for networks of infinite-dimensional linear systems, extending a previous result for finite-dimensional systems. Our result, established in the general framework of input-output relations, requires an additional input-output stability property, compared to the finite-dimensional counterpart. We show that this property holds for a large class of infinite-dimensional systems including abstract Cauchy problems, parabolic partial differential equations, and time-delay differential equations.</div></div> <div class="clear"></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A93D25" title="MSC2020">93D25</a> </td> <td class="space"> Input-output approaches in control theory </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A93B70" title="MSC2020">93B70</a> </td> <td class="space"> Networked control </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A93C05" title="MSC2020">93C05</a> </td> <td class="space"> Linear systems in control theory </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A93C35" title="MSC2020">93C35</a> </td> <td class="space"> Multivariable systems, multidimensional control systems </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A93C20" title="MSC2020">93C20</a> </td> <td class="space"> Control/observation systems governed by partial differential equations </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A93C23" title="MSC2020">93C23</a> </td> <td class="space"> Control/observation systems governed by functional-differential equations </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Alinear+systems">linear systems</a>; <a href="/?q=ut%3Anetwork+synchronization">network synchronization</a>; <a href="/?q=ut%3Ainfinite-dimensional+systems">infinite-dimensional 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 07966981" data-ciurl="/ci/07966981" data-biburl="/bibtex/07966981.bib" data-amsurl="/amsrefs/07966981.bib" data-xmlurl="/xml/07966981.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07966981.pdf" title="Zbl 07966981 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/10.1137/23M1576098" aria-label="DOI for “An input-output framework for stability and synchronization analysis of networks of infinite-dimensional linear systems”" title="10.1137/23M1576098">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2305.14666" title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> <div class="references"> <h3>References:</h3> <table><tr> <td>[1]</td> <td class="space">Aguilar, L., Orlov, Y., and Pisano, A., Leader-follower synchronization and ISS analysis for a network of boundary-controlled wave PDEs, IEEE Control Syst. 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