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Conference Paper: On the robust stability of 2D mixed continuous-discrete-time systems with uncertainty
Title | On the robust stability of 2D mixed continuous-discrete-time systems with uncertainty |
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Authors | |
Keywords | Linear systems Uncertain systems |
Issue Date | 2014 |
Publisher | American Automatic Control Council. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000030 |
Citation | The 2014 American Control Conference (ACC 2014), Portland, OR., 4-6 June 2014. In American Control Conference Proceedings, 2014, p. 4967-4972 How to Cite? |
Abstract | This paper addresses the problem of establishing robust exponential stability of 2D mixed continuous-discretetime systems affected by uncertainty. Specifically, it is supposed that the matrices of the system are polynomial functions of an uncertain vector constrained over a semialgebraic set. First, it is shown that robust exponential stability is equivalent to the existence of a complex Lyapunov functions depending polynomially on the uncertain vector and an additional parameter of degree not greater than a known quantity. Second, a condition for establishing robust exponential stability is proposed via convex optimization by exploiting sums-of-squares (SOS) matrix polynomials. This condition is sufficient for any chosen degree of the complex Lyapunov function candidate, and is also necessary for degrees sufficiently large. © 2014 American Automatic Control Council. |
Persistent Identifier | http://hdl.handle.net/10722/199367 |
ISBN | |
ISSN | 2023 SCImago Journal Rankings: 0.575 |
DC Field | Value | Language |
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dc.contributor.author | Chesi, G | en_US |
dc.contributor.author | Middleton, RH | en_US |
dc.date.accessioned | 2014-07-22T01:15:37Z | - |
dc.date.available | 2014-07-22T01:15:37Z | - |
dc.date.issued | 2014 | en_US |
dc.identifier.citation | The 2014 American Control Conference (ACC 2014), Portland, OR., 4-6 June 2014. In American Control Conference Proceedings, 2014, p. 4967-4972 | en_US |
dc.identifier.isbn | 978-1-4799-3274-0 | - |
dc.identifier.issn | 0743-1619 | - |
dc.identifier.uri | http://hdl.handle.net/10722/199367 | - |
dc.description.abstract | This paper addresses the problem of establishing robust exponential stability of 2D mixed continuous-discretetime systems affected by uncertainty. Specifically, it is supposed that the matrices of the system are polynomial functions of an uncertain vector constrained over a semialgebraic set. First, it is shown that robust exponential stability is equivalent to the existence of a complex Lyapunov functions depending polynomially on the uncertain vector and an additional parameter of degree not greater than a known quantity. Second, a condition for establishing robust exponential stability is proposed via convex optimization by exploiting sums-of-squares (SOS) matrix polynomials. This condition is sufficient for any chosen degree of the complex Lyapunov function candidate, and is also necessary for degrees sufficiently large. © 2014 American Automatic Control Council. | - |
dc.language | eng | en_US |
dc.publisher | American Automatic Control Council. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000030 | - |
dc.relation.ispartof | American Control Conference Proceedings | en_US |
dc.subject | Linear systems | - |
dc.subject | Uncertain systems | - |
dc.title | On the robust stability of 2D mixed continuous-discrete-time systems with uncertainty | en_US |
dc.type | Conference_Paper | en_US |
dc.identifier.email | Chesi, G: chesi@eee.hku.hk | en_US |
dc.identifier.authority | Chesi, G=rp00100 | en_US |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1109/ACC.2014.6858695 | - |
dc.identifier.scopus | eid_2-s2.0-84905695505 | - |
dc.identifier.hkuros | 230397 | en_US |
dc.identifier.spage | 4967 | en_US |
dc.identifier.epage | 4972 | en_US |
dc.publisher.place | United States | - |
dc.customcontrol.immutable | sml 140822 | - |
dc.identifier.issnl | 0743-1619 | - |