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J. Control</a> <a href="/?q=in%3A472260" title="Articles in this Issue">94, No. 10, 2811-2821 (2021)</a>. </div> <div class="abstract">Summary: In this paper, the fixed-time stochastic consensus problem of multi-agent systems with fixed and switching topologies is investigated. To realise the fixed-time stochastic consensus, a class of continuous non-Lipschitz protocols are designed and the effectiveness is rigorously proved. Based on the stability theory of stochastic differential equations, sufficient conditions for consensus are established. Moreover, the upper bound of the settling time is given, the influence of the algebraic connectivity of the network topologies on the convergence time is also investigated. Finally, several simulations are given to illustrate the effectiveness of the theoretical results. The simulation results show that the convergence time depends mainly on the parameters of the finite-time control term, and suitable noise can enable individuals to reach the consensus more rapidly.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=rf%3A7427222">Cited in <strong>6</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A93D50" title="MSC2020">93D50</a> </td> <td class="space"> Consensus </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%3A93D40" title="MSC2020">93D40</a> </td> <td class="space"> Finite-time stability </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A93A16" title="MSC2020">93A16</a> </td> <td class="space"> Multi-agent systems </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Amulti-agent+systems">multi-agent systems</a>; <a href="/?q=ut%3Afixed-time+consensus">fixed-time consensus</a>; <a href="/?q=ut%3Anoise">noise</a></div> <!-- Modal used to show zbmath metadata in different output formats--> <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">&times;</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;"> <!-- alert for connection errors etc --> </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"> <!-- Button trigger metadata modal --> <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1478.93649" data-ciurl="/ci/07427222" data-biburl="/bibtex/07427222.bib" data-amsurl="/amsrefs/07427222.bib" data-xmlurl="/xml/07427222.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07427222.pdf" title="Zbl 1478.93649 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/10.1080/00207179.2020.1736640" aria-label="DOI for “Stochastic fixed-time consensus problem of multi-agent systems with fixed and switching topologies”" title="10.1080/00207179.2020.1736640">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">Bhat, S. 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