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Conference Paper: Topological entropy control via static feedback synthesis for continuous-time linear time-invariant systems

TitleTopological entropy control via static feedback synthesis for continuous-time linear time-invariant systems
Authors
Issue Date2015
PublisherAmerican Automatic Control Council.
Citation
The 2015 American Control Conference (ACC 2015), Chicago, IL., 1-3 July 2015. In Conference Proceedings, 2015, p. 3416-3421 How to Cite?
AbstractThe topological entropy is a measure that quantifies the unstable of a dynamical system, and plays a key role in feedback stabilization. This paper addresses the problem of designing static feedback controllers for reducing the topological entropy in continuous-time linear time-invariant systems. It is shown that a sufficient condition for determining a controller (if any) that reduces the topological entropy under a desired upper bound can be obtained by solving a convex optimization problem, in particular a semidefinite program (SDP). Moreover, it is shown that this condition is also necessary by sufficiently increasing the size of the SDP. Some numerical examples illustrate the proposed methodology.
Persistent Identifierhttp://hdl.handle.net/10722/227527
ISBN
ISSN

 

DC FieldValueLanguage
dc.contributor.authorChesi, G-
dc.date.accessioned2016-07-18T09:11:15Z-
dc.date.available2016-07-18T09:11:15Z-
dc.date.issued2015-
dc.identifier.citationThe 2015 American Control Conference (ACC 2015), Chicago, IL., 1-3 July 2015. In Conference Proceedings, 2015, p. 3416-3421-
dc.identifier.isbn978-1-4799-8685-9-
dc.identifier.issn0743-1619-
dc.identifier.urihttp://hdl.handle.net/10722/227527-
dc.description.abstractThe topological entropy is a measure that quantifies the unstable of a dynamical system, and plays a key role in feedback stabilization. This paper addresses the problem of designing static feedback controllers for reducing the topological entropy in continuous-time linear time-invariant systems. It is shown that a sufficient condition for determining a controller (if any) that reduces the topological entropy under a desired upper bound can be obtained by solving a convex optimization problem, in particular a semidefinite program (SDP). Moreover, it is shown that this condition is also necessary by sufficiently increasing the size of the SDP. Some numerical examples illustrate the proposed methodology.-
dc.languageeng-
dc.publisherAmerican Automatic Control Council.-
dc.relation.ispartofAmerican Control Conference Proceedings-
dc.titleTopological entropy control via static feedback synthesis for continuous-time linear time-invariant systems-
dc.typeConference_Paper-
dc.identifier.emailChesi, G: chesi@eee.hku.hk-
dc.identifier.authorityChesi, G=rp00100-
dc.description.natureLink_to_subscribed_fulltext-
dc.identifier.doi10.1109/ACC.2015.7171860-
dc.identifier.scopuseid_2-s2.0-84940911473-
dc.identifier.hkuros259218-
dc.identifier.spage3416-
dc.identifier.epage3421-
dc.publisher.placeUnited States-
dc.customcontrol.immutablesml 160808-

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