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Article: Stability and L1-gain analysis of linear periodic piecewise positive systems
Title | Stability and L1-gain analysis of linear periodic piecewise positive systems |
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Authors | |
Keywords | L1-gain Periodic systems Positive systems Stability analysis Stabilization |
Issue Date | 2019 |
Publisher | Elsevier. The Journal's web site is located at http://www.elsevier.com/locate/automatica |
Citation | Automatica, 2019, v. 101, p. 232-240 How to Cite? |
Abstract | This paper investigates the stability, stabilization and L1-gain of linear periodic piecewise positive systems. The monotonicity of linear periodic piecewise positive systems is first studied. Then a time-varying co-positive Lyapunov function for periodic piecewise positive systems is employed and a sufficient condition for the asymptotic stability of the system is established. Based on the provided co-positive Lyapunov function and the sufficient stability condition, a state-feedback periodic piecewise controller to stabilize the system is formed and an upper bound of L1-gain of the system is given. Finally, numerical examples are given to illustrate the theoretical results. |
Persistent Identifier | http://hdl.handle.net/10722/271949 |
ISSN | 2023 Impact Factor: 4.8 2023 SCImago Journal Rankings: 3.502 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Zhu, B | - |
dc.contributor.author | Lam, J | - |
dc.contributor.author | Song, X | - |
dc.date.accessioned | 2019-07-20T10:32:40Z | - |
dc.date.available | 2019-07-20T10:32:40Z | - |
dc.date.issued | 2019 | - |
dc.identifier.citation | Automatica, 2019, v. 101, p. 232-240 | - |
dc.identifier.issn | 0005-1098 | - |
dc.identifier.uri | http://hdl.handle.net/10722/271949 | - |
dc.description.abstract | This paper investigates the stability, stabilization and L1-gain of linear periodic piecewise positive systems. The monotonicity of linear periodic piecewise positive systems is first studied. Then a time-varying co-positive Lyapunov function for periodic piecewise positive systems is employed and a sufficient condition for the asymptotic stability of the system is established. Based on the provided co-positive Lyapunov function and the sufficient stability condition, a state-feedback periodic piecewise controller to stabilize the system is formed and an upper bound of L1-gain of the system is given. Finally, numerical examples are given to illustrate the theoretical results. | - |
dc.language | eng | - |
dc.publisher | Elsevier. The Journal's web site is located at http://www.elsevier.com/locate/automatica | - |
dc.relation.ispartof | Automatica | - |
dc.subject | L1-gain | - |
dc.subject | Periodic systems | - |
dc.subject | Positive systems | - |
dc.subject | Stability analysis | - |
dc.subject | Stabilization | - |
dc.title | Stability and L1-gain analysis of linear periodic piecewise positive systems | - |
dc.type | Article | - |
dc.identifier.email | Zhu, B: zhubohao@connect.hku.hk | - |
dc.identifier.email | Lam, J: jlam@hku.hk | - |
dc.identifier.email | Song, X: xqsong@connect.hku.hk | - |
dc.identifier.authority | Lam, J=rp00133 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/j.automatica.2018.12.007 | - |
dc.identifier.scopus | eid_2-s2.0-85059148236 | - |
dc.identifier.hkuros | 299340 | - |
dc.identifier.volume | 101 | - |
dc.identifier.spage | 232 | - |
dc.identifier.epage | 240 | - |
dc.identifier.isi | WOS:000458941700027 | - |
dc.publisher.place | United Kingdom | - |
dc.identifier.issnl | 0005-1098 | - |