Stability and stabilisation of planar switched linear systems via LaSalle's invariance principle
文献类型：期刊论文
| 作者 | Yuan, Yanyan; Cheng, Daizhan |
| 刊名 | INTERNATIONAL JOURNAL OF CONTROL
 |
| 出版日期 | 2008 |
| 卷号 | 81期号:10页码:1590-1599 |
| 关键词 | switched linear systems common weak Lyapunov function LaSalle's invariance principle uniformly asymptotical stablility |
| ISSN号 | 0020-7179 |
| DOI | 10.1080/00207170701793814 |
| 英文摘要 | This paper investigates the problem of uniformly asymptotical stability (UAS) and stabilisation of planar switched linear systems using LaSalle's invariance principle of switched systems. First, we show that a common weak quadratic Lyapunov function (WQLF) is enough to assure the UAS of a switched linear system with stable modes. Then the necessary and sufficient conditions for the existence of common WQLF are obtained. Secondly, we consider the problem of uniformly asymptotical stabilisation (UASZ) of single-input planar switched linear systems. Necessary and sufficient conditions for the closed-loop system with proper feedback to share a common WQLF are presented. It is also proved that a common WQLF is enough to assure the UAS of the closed-loop system. |
| WOS研究方向 | Automation & Control Systems |
| 语种 | 英语 |
| WOS记录号 | WOS:000258311500006 |
| 出版者 | TAYLOR & FRANCIS LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5704]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Yuan, Yanyan |
| 作者单位 | Chinese Acad Sci, Inst Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yuan, Yanyan,Cheng, Daizhan. Stability and stabilisation of planar switched linear systems via LaSalle's invariance principle[J]. INTERNATIONAL JOURNAL OF CONTROL,2008,81(10):1590-1599. |
| APA | Yuan, Yanyan,&Cheng, Daizhan.(2008).Stability and stabilisation of planar switched linear systems via LaSalle's invariance principle.INTERNATIONAL JOURNAL OF CONTROL,81(10),1590-1599. |
| MLA | Yuan, Yanyan,et al."Stability and stabilisation of planar switched linear systems via LaSalle's invariance principle".INTERNATIONAL JOURNAL OF CONTROL 81.10(2008):1590-1599. |
入库方式： OAI收割
来源：数学与系统科学研究院
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