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Article: Stability analysis of cyclic switched linear systems: An average cycle dwell time approach
Title | Stability analysis of cyclic switched linear systems: An average cycle dwell time approach |
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Authors | |
Keywords | Stability Cyclic switched linear systems Average cycle dwell time Stable (or unstable) cyclic switching sequence dependent average cycle dwell time |
Issue Date | 2021 |
Publisher | Elsevier Inc. The Journal's web site is located at http://www.elsevier.com/locate/ins |
Citation | Information Sciences, 2021, v. 544, p. 227-237 How to Cite? |
Abstract | In this paper, the stability problem of switched linear systems with a class of cyclic switching signals is investigated. Firstly, a new concept of average cycle dwell time (ACDT) is introduced to relax the conservativeness of cycle dwell time that is extensively used in the literature. In addition, the ACDT is further extended to stable cyclic switching sequence dependent average cycle dwell time (S-ACDT) and unstable cyclic switching sequence dependent average cycle dwell time (U-ACDT). Secondly, the stability criteria for cyclic switched linear (or nonlinear) systems with ACDT or both S-ACDT and U-ACDT are derived by resorting to a technique that uses multiple Lyapunov functions. Both cyclic switched linear systems and cyclic switched nonlinear systems which contain all stable subsystems or partly stable subsystems are studied. Finally, a numerical example is given to demonstrate the feasibility of the proposed techniques. |
Persistent Identifier | http://hdl.handle.net/10722/306691 |
ISSN | 2022 Impact Factor: 8.1 2023 SCImago Journal Rankings: 2.238 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Sun, T | - |
dc.contributor.author | Liu, T | - |
dc.contributor.author | Sun, X | - |
dc.date.accessioned | 2021-10-22T07:38:14Z | - |
dc.date.available | 2021-10-22T07:38:14Z | - |
dc.date.issued | 2021 | - |
dc.identifier.citation | Information Sciences, 2021, v. 544, p. 227-237 | - |
dc.identifier.issn | 0020-0255 | - |
dc.identifier.uri | http://hdl.handle.net/10722/306691 | - |
dc.description.abstract | In this paper, the stability problem of switched linear systems with a class of cyclic switching signals is investigated. Firstly, a new concept of average cycle dwell time (ACDT) is introduced to relax the conservativeness of cycle dwell time that is extensively used in the literature. In addition, the ACDT is further extended to stable cyclic switching sequence dependent average cycle dwell time (S-ACDT) and unstable cyclic switching sequence dependent average cycle dwell time (U-ACDT). Secondly, the stability criteria for cyclic switched linear (or nonlinear) systems with ACDT or both S-ACDT and U-ACDT are derived by resorting to a technique that uses multiple Lyapunov functions. Both cyclic switched linear systems and cyclic switched nonlinear systems which contain all stable subsystems or partly stable subsystems are studied. Finally, a numerical example is given to demonstrate the feasibility of the proposed techniques. | - |
dc.language | eng | - |
dc.publisher | Elsevier Inc. The Journal's web site is located at http://www.elsevier.com/locate/ins | - |
dc.relation.ispartof | Information Sciences | - |
dc.subject | Stability | - |
dc.subject | Cyclic switched linear systems | - |
dc.subject | Average cycle dwell time | - |
dc.subject | Stable (or unstable) cyclic switching | - |
dc.subject | sequence dependent average cycle dwell time | - |
dc.title | Stability analysis of cyclic switched linear systems: An average cycle dwell time approach | - |
dc.type | Article | - |
dc.identifier.email | Liu, T: taoliu@eee.hku.hk | - |
dc.identifier.authority | Liu, T=rp02045 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/j.ins.2020.07.053 | - |
dc.identifier.scopus | eid_2-s2.0-85089156817 | - |
dc.identifier.hkuros | 328546 | - |
dc.identifier.volume | 544 | - |
dc.identifier.spage | 227 | - |
dc.identifier.epage | 237 | - |
dc.identifier.isi | WOS:000579455200014 | - |
dc.publisher.place | United States | - |