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Article: Stability and L2 Synthesis of A Class of Periodic Piecewise Time-varying Systems
Title | Stability and L2 Synthesis of A Class of Periodic Piecewise Time-varying Systems |
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Authors | |
Keywords | Time-varying systems Symmetric matrices Lyapunov methods Numerical stability Stability criteria |
Issue Date | 2018 |
Publisher | Institute 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? |
Abstract | In 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 Identifier | http://hdl.handle.net/10722/272908 |
ISSN | 2023 Impact Factor: 6.2 2023 SCImago Journal Rankings: 4.501 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Li, P | - |
dc.contributor.author | Lam, J | - |
dc.contributor.author | Lu, R | - |
dc.contributor.author | Kwok, KW | - |
dc.date.accessioned | 2019-08-06T09:18:51Z | - |
dc.date.available | 2019-08-06T09:18:51Z | - |
dc.date.issued | 2018 | - |
dc.identifier.citation | IEEE Transactions on Automatic Control, 2018, v. 64 n. 8, p. 3378-3384 | - |
dc.identifier.issn | 0018-9286 | - |
dc.identifier.uri | http://hdl.handle.net/10722/272908 | - |
dc.description.abstract | In 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.language | eng | - |
dc.publisher | Institute of Electrical and Electronics Engineers. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=9 | - |
dc.relation.ispartof | IEEE Transactions on Automatic Control | - |
dc.rights | IEEE 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.subject | Time-varying systems | - |
dc.subject | Symmetric matrices | - |
dc.subject | Lyapunov methods | - |
dc.subject | Numerical stability | - |
dc.subject | Stability criteria | - |
dc.title | Stability and L2 Synthesis of A Class of Periodic Piecewise Time-varying Systems | - |
dc.type | Article | - |
dc.identifier.email | Lam, J: jlam@hku.hk | - |
dc.identifier.email | Kwok, KW: kwokkw@hku.hk | - |
dc.identifier.authority | Lam, J=rp00133 | - |
dc.identifier.authority | Kwok, KW=rp01924 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1109/TAC.2018.2880678 | - |
dc.identifier.scopus | eid_2-s2.0-85056323968 | - |
dc.identifier.hkuros | 300156 | - |
dc.identifier.volume | 64 | - |
dc.identifier.issue | 8 | - |
dc.identifier.spage | 3378 | - |
dc.identifier.epage | 3384 | - |
dc.identifier.isi | WOS:000478694300026 | - |
dc.publisher.place | United States | - |
dc.identifier.issnl | 0018-9286 | - |