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Conference Paper: On the robust stability of 2D mixed continuous-discrete-time systems with uncertainty

TitleOn the robust stability of 2D mixed continuous-discrete-time systems with uncertainty
Authors
KeywordsLinear systems
Uncertain systems
Issue Date2014
PublisherAmerican 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?
AbstractThis 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 Identifierhttp://hdl.handle.net/10722/199367
ISBN
ISSN

 

DC FieldValueLanguage
dc.contributor.authorChesi, Gen_US
dc.contributor.authorMiddleton, RHen_US
dc.date.accessioned2014-07-22T01:15:37Z-
dc.date.available2014-07-22T01:15:37Z-
dc.date.issued2014en_US
dc.identifier.citationThe 2014 American Control Conference (ACC 2014), Portland, OR., 4-6 June 2014. In American Control Conference Proceedings, 2014, p. 4967-4972en_US
dc.identifier.isbn978-1-4799-3274-0-
dc.identifier.issn0743-1619-
dc.identifier.urihttp://hdl.handle.net/10722/199367-
dc.description.abstractThis 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.languageengen_US
dc.publisherAmerican Automatic Control Council. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000030-
dc.relation.ispartofAmerican Control Conference Proceedingsen_US
dc.rightsAmerican Control Conference. Copyright © American Automatic Control Council.-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectLinear systems-
dc.subjectUncertain systems-
dc.titleOn the robust stability of 2D mixed continuous-discrete-time systems with uncertaintyen_US
dc.typeConference_Paperen_US
dc.identifier.emailChesi, G: chesi@eee.hku.hken_US
dc.identifier.authorityChesi, G=rp00100en_US
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1109/ACC.2014.6858695-
dc.identifier.scopuseid_2-s2.0-84905695505-
dc.identifier.hkuros230397en_US
dc.identifier.spage4967en_US
dc.identifier.epage4972en_US
dc.publisher.placeUnited States-
dc.customcontrol.immutablesml 140822-

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