On the stability and stabilization of time-varying nonlinear control systems
文献类型：期刊论文
| 作者 | Mu, XW; Cheng, DZ
|
| 刊名 | ASIAN JOURNAL OF CONTROL
 |
| 出版日期 | 2005-09-01 |
| 卷号 | 7期号:3页码:244-255 |
| 关键词 | nonlinear system cascade system (integral) input-output stability weak detectability |
| ISSN号 | 1561-8625 |
| 英文摘要 | Many stability and stabilization problems of nonlinear time-varying systems lead to asymptotic behavior of (-K + L)-type systems, which consist of a K-function and an L-function. The stability of these systems is of fundamental importance for a series of stabilization problems of time-varying nonlinear control systems. Even though the asymptotical stability of such systems has been used widely and (in most cases) implicitly, we do not find a rigorous proof, in the literature, and the existing proof for a particular case is questionable. Under quite general conditions, we prove that the solution of these systems tends to 0 as t -> infinity. Some generalizations are also obtained. As an immediate consequence, a general theorem is obtained for the stabilization of time-varying systems. Using the new framework, we examine several stability and stabilization problems. First of all, for cascade systems, two sets of sufficient conditions are obtained for uniformly asymptotical stability and globally asymptotical stability, respectively. Then we consider the stability of ISS and IISS systems. A new concept, namely, strong IISS, is proposed. Several stability properties for autonomous systems are extended to time-varying systems. Finally, we consider stabilization via detection. A rigorous proof is given for a smooth state feedback time-varying system with weak detectability to be stabilizable by means of an observer. |
| WOS研究方向 | Automation & Control Systems |
| 语种 | 英语 |
| WOS记录号 | WOS:000232287900004 |
| 出版者 | CHINESE AUTOMATIC CONTROL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1267]  |
| 专题 | 系统科学研究所 |
| 通讯作者 | Mu, XW |
| 作者单位 | 1.Zhengzhou Univ, Dept Syst Sci & Math, Zhengzhou 400052, Peoples R China 2.Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Mu, XW,Cheng, DZ. On the stability and stabilization of time-varying nonlinear control systems[J]. ASIAN JOURNAL OF CONTROL,2005,7(3):244-255. |
| APA | Mu, XW,&Cheng, DZ.(2005).On the stability and stabilization of time-varying nonlinear control systems.ASIAN JOURNAL OF CONTROL,7(3),244-255. |
| MLA | Mu, XW,et al."On the stability and stabilization of time-varying nonlinear control systems".ASIAN JOURNAL OF CONTROL 7.3(2005):244-255. |
入库方式： OAI收割
来源：数学与系统科学研究院
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