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Conference Paper: A necessary and sufficient LMI condition for stability of 2D mixed continuous-discrete-time systems

TitleA necessary and sufficient LMI condition for stability of 2D mixed continuous-discrete-time systems
Authors
KeywordsLinear systems
Stability of linear systems
Issue Date2013
PublisherI E E E. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=6657188
Citation
European Control Conference (ECC), Zurich, Switzerland, 17-19 July 2013. In European Control Conference, 2013, p. 323-328 How to Cite?
AbstractThis paper addresses the problem of establishing stability of 2D mixed continuous-discrete-time systems. Traditional stability analysis for 2D systems gives a sufficient condition based on 2D version of a Lyapunov equation. Here, a linear matrix inequality (LMI) condition is proposed that extends these results by introducing complex Lyapunov functions depending polynomially on a parameter and by exploiting the Gram matrix method. It is shown that this condition is sufficient for 2D exponential stability for any chosen degree of the Lyapunov function candidate, and it is also shown that this condition is also necessary for a sufficiently large degree. Moreover, an a priori bound on the degree required for achieving necessity is given. Some numerical examples illustrate the proposed methodology.
DescriptionWeA10 Regular Session: Linear Systems I, Paper WeA10.6
Persistent Identifierhttp://hdl.handle.net/10722/198884
ISBN

 

DC FieldValueLanguage
dc.contributor.authorChesi, G-
dc.contributor.authorMiddleton, R H-
dc.date.accessioned2014-07-14T07:53:19Z-
dc.date.available2014-07-14T07:53:19Z-
dc.date.issued2013-
dc.identifier.citationEuropean Control Conference (ECC), Zurich, Switzerland, 17-19 July 2013. In European Control Conference, 2013, p. 323-328-
dc.identifier.isbn9783033039629-
dc.identifier.urihttp://hdl.handle.net/10722/198884-
dc.descriptionWeA10 Regular Session: Linear Systems I, Paper WeA10.6-
dc.description.abstractThis paper addresses the problem of establishing stability of 2D mixed continuous-discrete-time systems. Traditional stability analysis for 2D systems gives a sufficient condition based on 2D version of a Lyapunov equation. Here, a linear matrix inequality (LMI) condition is proposed that extends these results by introducing complex Lyapunov functions depending polynomially on a parameter and by exploiting the Gram matrix method. It is shown that this condition is sufficient for 2D exponential stability for any chosen degree of the Lyapunov function candidate, and it is also shown that this condition is also necessary for a sufficiently large degree. Moreover, an a priori bound on the degree required for achieving necessity is given. Some numerical examples illustrate the proposed methodology.-
dc.languageeng-
dc.publisherI E E E. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=6657188-
dc.relation.ispartofEuropean Control Conference-
dc.rightsEuropean Control Conference. Copyright © I E E E.-
dc.rights©2013 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectLinear systems-
dc.subjectStability of linear systems-
dc.titleA necessary and sufficient LMI condition for stability of 2D mixed continuous-discrete-time systemsen_US
dc.typeConference_Paperen_US
dc.identifier.emailChesi, G: chesi@eee.hku.hk-
dc.description.naturepublished_or_final_version-
dc.identifier.scopuseid_2-s2.0-84893251668-
dc.identifier.hkuros230390-
dc.identifier.spage323-
dc.identifier.epage328-
dc.publisher.placeUnited States-

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