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Conference Paper: On the H-infinity norm of 2D mixed continuous-discrete-time systems via rationally-dependent complex Lyapunov functions

TitleOn the H-infinity norm of 2D mixed continuous-discrete-time systems via rationally-dependent complex Lyapunov functions
Authors
KeywordsLinear systems
Lyapunov methods
Issue Date2014
PublisherInternational Federation of Automatic Control. The Conference proceedings' website is located at http://www.ifac-papersonline.net/World_Congress/Proceedings_of_the_19th_IFAC_World_Congress__2014/index.html
Citation
The 19th World Congress of the International Federation of Automatic Control (IFAC 2014), Cape Town, South Africa, 24-29 August 2014. In Conference Proceedings, 2014, p. 5568-5573 How to Cite?
AbstractThis paper addresses the problem of determining the H-infinity norm of 2D mixed continuous-discrete-time systems. A novel approach is proposed based on the use of a class of complex Lyapunov functions with rational dependence on a parameter, which provides upper bounds on the sought norm via linear matrix inequalities (LMIs). It is also shown that the provided upper bounds are nonconservative by using rational functions in the chosen class with degree sufficiently large. Some numerical examples illustrate the proposed approach.
Persistent Identifierhttp://hdl.handle.net/10722/211396
ISSN

 

DC FieldValueLanguage
dc.contributor.authorChesi, G-
dc.contributor.authorMiddleton, RH-
dc.date.accessioned2015-07-10T07:05:50Z-
dc.date.available2015-07-10T07:05:50Z-
dc.date.issued2014-
dc.identifier.citationThe 19th World Congress of the International Federation of Automatic Control (IFAC 2014), Cape Town, South Africa, 24-29 August 2014. In Conference Proceedings, 2014, p. 5568-5573-
dc.identifier.issn1474-6670-
dc.identifier.urihttp://hdl.handle.net/10722/211396-
dc.description.abstractThis paper addresses the problem of determining the H-infinity norm of 2D mixed continuous-discrete-time systems. A novel approach is proposed based on the use of a class of complex Lyapunov functions with rational dependence on a parameter, which provides upper bounds on the sought norm via linear matrix inequalities (LMIs). It is also shown that the provided upper bounds are nonconservative by using rational functions in the chosen class with degree sufficiently large. Some numerical examples illustrate the proposed approach.-
dc.languageeng-
dc.publisherInternational Federation of Automatic Control. The Conference proceedings' website is located at http://www.ifac-papersonline.net/World_Congress/Proceedings_of_the_19th_IFAC_World_Congress__2014/index.html-
dc.relation.ispartofProceedings of the 19th IFAC World Congress, 2014-
dc.subjectLinear systems-
dc.subjectLyapunov methods-
dc.titleOn the H-infinity norm of 2D mixed continuous-discrete-time systems via rationally-dependent complex Lyapunov functions-
dc.typeConference_Paper-
dc.identifier.emailChesi, G: chesi@eee.hku.hk-
dc.identifier.authorityChesi, G=rp00100-
dc.description.naturelink_to_OA_fulltext-
dc.identifier.doi10.3182/20140824-6-ZA-1003.00974-
dc.identifier.hkuros245057-
dc.identifier.spage5568-
dc.identifier.epage5573-

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