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Math. Anal. Appl.</a> <a href="/?q=in%3A340534" title="Articles in this Issue">418, No. 2, 985-997 (2014)</a>. </div> <div class="abstract">Summary: This study investigates the exact controllability problem for a vibrating non-classical Euler-Bernoulli micro-beam whose governing Partial Differential Equation (PDE) of motion is derived based on the non-classical continuum mechanics. In this paper, it is proved that via boundary controls, it is possible to obtain exact controllability which consists of driving the vibrating system to rest in finite time. This control objective is achieved based on the PDE model of the system which causes that spillover instabilities do not occur.</div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=ci%3A6390539">Cited in <strong>1</strong> Review</a></div><div class="clear"><a href="/?q=rf%3A6390539">Cited in <strong>11</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A93B05" title="MSC2020">93B05</a> </td> <td class="space"> Controllability </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A74K10" title="MSC2020">74K10</a> </td> <td class="space"> Rods (beams, columns, shafts, arches, rings, etc.) </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A35Q93" title="MSC2020">35Q93</a> </td> <td class="space"> PDEs in connection with control and optimization </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Avibration+control">vibration control</a>; <a href="/?q=ut%3Anon-classical+micro-beam">non-classical micro-beam</a>; <a href="/?q=ut%3Aexact+boundary+controllability">exact boundary controllability</a>; <a href="/?q=ut%3APDE+model">PDE model</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">×</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 1303.93043" data-ciurl="/ci/06390539" data-biburl="/bibtex/06390539.bib" data-amsurl="/amsrefs/06390539.bib" data-xmlurl="/xml/06390539.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06390539.pdf" title="Zbl 1303.93043 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.jmaa.2014.03.012" aria-label="DOI for “Exact boundary controllability of vibrating non-classical Euler-Bernoulli micro-scale beams”" title="10.1016/j.jmaa.2014.03.012">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">Araruna, F.; Zuazua, E., Controllability of the Kirchhoff system for beams as a limit of the Mindlin-Timoshenko system, SIAM J. 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