An extension of LaSalle's Invariance Principle for a class of switched linear systems
文献类型：期刊论文
| 作者 | Wang, Jinhuan1,3; Cheng, Daizhan2 ; Hu, Xiaoming3
|
| 刊名 | SYSTEMS & CONTROL LETTERS
 |
| 出版日期 | 2009-10-01 |
| 卷号 | 58期号:10-11页码:754-758 |
| 关键词 | LaSalle's Invariance Principle Switched linear systems Weak common quadratic Lyapunov function |
| ISSN号 | 0167-6911 |
| DOI | 10.1016/j.sysconle.2009.08.008 |
| 英文摘要 | In this paper LaSalle's Invariance Principle for switched linear systems is studied. Unlike most existing results in which each switching mode in the system needs to be asymptotically stable, in this paper the switching modes are allowed to be only Lyapunov stable. Under certain ergodicity assumptions, an extension of LaSalle's Invariance Principle for global asymptotic stability of switched linear systems is proposed provided that the kernels of derivatives of a common quadratic Lyapunov function with respect to the switching modes are disjoint (except the origin). (C) 2009 Elsevier B.V. All rights reserved. |
| 资助项目 | NNSF of China[60221301] ; NNSF of China[60334040] ; Sida-VR Swedish Research Links[348-2006-5894] |
| WOS研究方向 | Automation & Control Systems ; Operations Research & Management Science |
| 语种 | 英语 |
| WOS记录号 | WOS:000271338400008 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/8842]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Hu, Xiaoming |
| 作者单位 | 1.Hebei Univ Technol, Sch Sci, Tianjin 300130, Peoples R China 2.Chinese Acad Sci, Inst Syst Sci, Beijing 100190, Peoples R China 3.Royal Inst Technol, Dept Math, S-10044 Stockholm, Sweden |
| 推荐引用方式 GB/T 7714 | Wang, Jinhuan,Cheng, Daizhan,Hu, Xiaoming. An extension of LaSalle's Invariance Principle for a class of switched linear systems[J]. SYSTEMS & CONTROL LETTERS,2009,58(10-11):754-758. |
| APA | Wang, Jinhuan,Cheng, Daizhan,&Hu, Xiaoming.(2009).An extension of LaSalle's Invariance Principle for a class of switched linear systems.SYSTEMS & CONTROL LETTERS,58(10-11),754-758. |
| MLA | Wang, Jinhuan,et al."An extension of LaSalle's Invariance Principle for a class of switched linear systems".SYSTEMS & CONTROL LETTERS 58.10-11(2009):754-758. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。