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Conference Paper: Topological entropy control via static feedback synthesis for continuous-time linear time-invariant systems
Title | Topological entropy control via static feedback synthesis for continuous-time linear time-invariant systems |
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Authors | |
Issue Date | 2015 |
Publisher | American 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? |
Abstract | The 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 Identifier | http://hdl.handle.net/10722/227527 |
ISBN | |
ISSN | 2023 SCImago Journal Rankings: 0.575 |
DC Field | Value | Language |
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dc.contributor.author | Chesi, G | - |
dc.date.accessioned | 2016-07-18T09:11:15Z | - |
dc.date.available | 2016-07-18T09:11:15Z | - |
dc.date.issued | 2015 | - |
dc.identifier.citation | The 2015 American Control Conference (ACC 2015), Chicago, IL., 1-3 July 2015. In Conference Proceedings, 2015, p. 3416-3421 | - |
dc.identifier.isbn | 978-1-4799-8685-9 | - |
dc.identifier.issn | 0743-1619 | - |
dc.identifier.uri | http://hdl.handle.net/10722/227527 | - |
dc.description.abstract | The 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.language | eng | - |
dc.publisher | American Automatic Control Council. | - |
dc.relation.ispartof | American Control Conference Proceedings | - |
dc.title | Topological entropy control via static feedback synthesis for continuous-time linear time-invariant systems | - |
dc.type | Conference_Paper | - |
dc.identifier.email | Chesi, G: chesi@eee.hku.hk | - |
dc.identifier.authority | Chesi, G=rp00100 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1109/ACC.2015.7171860 | - |
dc.identifier.scopus | eid_2-s2.0-84940911473 | - |
dc.identifier.hkuros | 259218 | - |
dc.identifier.spage | 3416 | - |
dc.identifier.epage | 3421 | - |
dc.publisher.place | United States | - |
dc.customcontrol.immutable | sml 160808 | - |
dc.identifier.issnl | 0743-1619 | - |