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Article: Stability and L2 Synthesis of A Class of Periodic Piecewise Time-varying Systems

TitleStability and L2 Synthesis of A Class of Periodic Piecewise Time-varying Systems
Authors
Li, PLam, JLu, RKwok, KW
KeywordsTime-varying systems
Symmetric matrices
Lyapunov methods
Numerical stability
Stability criteria
Issue Date2018
PublisherInstitute of Electrical and Electronics Engineers. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=9
Citation
IEEE Transactions on Automatic Control, 2018, v. 64 n. 8, p. 3378-3384 How to Cite?
DOI: http://dx.doi.org/10.1109/TAC.2018.2880678
AbstractIn this paper, the stability, stabilization and L2 -gain problems are investigated for periodic piecewise systems with time-varying subsystems. Continuous Lyapunov function with time-varying Lyapunov matrix is adopted. A condition guaranteeing the negative definiteness of a matrix polynomial, deriving from the Lyapunov derivative, is first obtained. Based on such a condition, an exponential stability condition is provided. Moreover, a state-feedback controller with time-varying gain is developed to stabilize the unstable periodic piecewise time-varying system. The L2 -gain criterion for periodic piecewise time-varying system is also studied. Numerical examples are given to show the validity of the proposed techniques.
Persistent Identifierhttp://hdl.handle.net/10722/272908
ISSN
0018-9286
2021 Impact Factor: 6.549
2020 SCImago Journal Rankings: 3.436
ISI Accession Number ID
WOS:000478694300026

 

DC FieldValueLanguage
dc.contributor.authorLi, P-
dc.contributor.authorLam, J-
dc.contributor.authorLu, R-
dc.contributor.authorKwok, KW-
dc.date.accessioned2019-08-06T09:18:51Z-
dc.date.available2019-08-06T09:18:51Z-
dc.date.issued2018-
dc.identifier.citationIEEE Transactions on Automatic Control, 2018, v. 64 n. 8, p. 3378-3384-
dc.identifier.issn0018-9286-
dc.identifier.urihttp://hdl.handle.net/10722/272908-
dc.description.abstractIn this paper, the stability, stabilization and L2 -gain problems are investigated for periodic piecewise systems with time-varying subsystems. Continuous Lyapunov function with time-varying Lyapunov matrix is adopted. A condition guaranteeing the negative definiteness of a matrix polynomial, deriving from the Lyapunov derivative, is first obtained. Based on such a condition, an exponential stability condition is provided. Moreover, a state-feedback controller with time-varying gain is developed to stabilize the unstable periodic piecewise time-varying system. The L2 -gain criterion for periodic piecewise time-varying system is also studied. Numerical examples are given to show the validity of the proposed techniques.-
dc.languageeng-
dc.publisherInstitute of Electrical and Electronics Engineers. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=9-
dc.relation.ispartofIEEE Transactions on Automatic Control-
dc.rightsIEEE Transactions on Automatic Control. Copyright © Institute of Electrical and Electronics Engineers.-
dc.rights©20xx IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.-
dc.subjectTime-varying systems-
dc.subjectSymmetric matrices-
dc.subjectLyapunov methods-
dc.subjectNumerical stability-
dc.subjectStability criteria-
dc.titleStability and L2 Synthesis of A Class of Periodic Piecewise Time-varying Systems-
dc.typeArticle-
dc.identifier.emailLam, J: jlam@hku.hk-
dc.identifier.emailKwok, KW: kwokkw@hku.hk-
dc.identifier.authorityLam, J=rp00133-
dc.identifier.authorityKwok, KW=rp01924-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1109/TAC.2018.2880678-
dc.identifier.scopuseid_2-s2.0-85056323968-
dc.identifier.hkuros300156-
dc.identifier.volume64-
dc.identifier.issue8-
dc.identifier.spage3378-
dc.identifier.epage3384-
dc.identifier.isiWOS:000478694300026-
dc.publisher.placeUnited States-
dc.identifier.issnl0018-9286-

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