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- Publisher Website: 10.1109/TAC.2021.3089640
- Scopus: eid_2-s2.0-85112215001
- WOS: WOS:000794194000051
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Article: Stability and L1-gain analysis of periodic piecewise positive systems with constant time delay
Title | Stability and L1-gain analysis of periodic piecewise positive systems with constant time delay |
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Authors | |
Issue Date | 2021 |
Citation | IEEE Transactions on Automatic Control, 2021 How to Cite? |
Abstract | This paper is concerned with the stability and L1-gain analysis of periodic piecewise positive systems with constant time delay. Lambda-exponential stability, which is applied to characterize the decay rates of the considered systems, is investigated first. A co-positive Lyapunov-Krasovskii functional is used to obtain a sufficient stability condition. The stability condition characterizes the convergent speed of the state by the system matrices and the size of the time delay. One can also apply the Lyapunov-Krasovskii functional to characterize the L1-gain of the systems. By taking advantage of the periodic property of the system, linear inequalities are employed to characterize the L1-gain, and an unweighted upper bound of the L1-gain of the system is given. |
Persistent Identifier | http://hdl.handle.net/10722/301635 |
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 | Xie, X | - |
dc.contributor.author | SONG, X | - |
dc.contributor.author | Kwok, KW | - |
dc.date.accessioned | 2021-08-09T03:41:57Z | - |
dc.date.available | 2021-08-09T03:41:57Z | - |
dc.date.issued | 2021 | - |
dc.identifier.citation | IEEE Transactions on Automatic Control, 2021 | - |
dc.identifier.uri | http://hdl.handle.net/10722/301635 | - |
dc.description.abstract | This paper is concerned with the stability and L1-gain analysis of periodic piecewise positive systems with constant time delay. Lambda-exponential stability, which is applied to characterize the decay rates of the considered systems, is investigated first. A co-positive Lyapunov-Krasovskii functional is used to obtain a sufficient stability condition. The stability condition characterizes the convergent speed of the state by the system matrices and the size of the time delay. One can also apply the Lyapunov-Krasovskii functional to characterize the L1-gain of the systems. By taking advantage of the periodic property of the system, linear inequalities are employed to characterize the L1-gain, and an unweighted upper bound of the L1-gain of the system is given. | - |
dc.language | eng | - |
dc.relation.ispartof | IEEE Transactions on Automatic Control | - |
dc.title | Stability and L1-gain analysis of periodic piecewise positive systems with constant time delay | - |
dc.type | Article | - |
dc.identifier.email | Lam, J: jlam@hku.hk | - |
dc.identifier.email | Xie, X: xcxie@connect.hku.hk | - |
dc.identifier.email | Kwok, KW: kwokkw@hku.hk | - |
dc.identifier.authority | Lam, J=rp00133 | - |
dc.identifier.authority | Kwok, KW=rp01924 | - |
dc.identifier.doi | 10.1109/TAC.2021.3089640 | - |
dc.identifier.scopus | eid_2-s2.0-85112215001 | - |
dc.identifier.hkuros | 323868 | - |
dc.identifier.isi | WOS:000794194000051 | - |