Exponential stability of nonlinear impulsive switched systems with stable and unstable subsystems | |
Zhang, Xiao-li ; Lin, An-hui ; Zeng, Jian-ping ; Zhang XL(张霄力) ; Ceng JP(曾建平) | |
刊名 | http://dx.doi.org/10.1631/jzus.C1300123 |
2014 | |
关键词 | H-INFINITY STABILIZATION LINEAR-SYSTEMS TIME-DELAY STATE |
英文摘要 | National Natural Science Foundation of China [61074004, 61374037]; Exponential stability and robust exponential stability relating to switched systems consisting of stable and unstable nonlinear subsystems are considered in this study. At each switching time instant, the impulsive increments which are nonlinear functions of the states are extended from switched linear systems to switched nonlinear systems. Using the average dwell time method and piecewise Lyapunov function approach, when the total active time of unstable subsystems compared to the total active time of stable subsystems is less than a certain proportion, the exponential stability of the switched system is guaranteed. The switching law is designed which includes the average dwell time of the switched system. Switched systems with uncertainties are also studied. Sufficient conditions of the exponential stability and robust exponential stability are provided for switched nonlinear systems. Finally, simulations show the effectiveness of the result. |
语种 | 英语 |
出版者 | ZHEJIANG UNIV |
内容类型 | 期刊论文 |
源URL | [http://dspace.xmu.edu.cn/handle/2288/92767] |
专题 | 信息技术-已发表论文 |
推荐引用方式 GB/T 7714 | Zhang, Xiao-li,Lin, An-hui,Zeng, Jian-ping,et al. Exponential stability of nonlinear impulsive switched systems with stable and unstable subsystems[J]. http://dx.doi.org/10.1631/jzus.C1300123,2014. |
APA | Zhang, Xiao-li,Lin, An-hui,Zeng, Jian-ping,张霄力,&曾建平.(2014).Exponential stability of nonlinear impulsive switched systems with stable and unstable subsystems.http://dx.doi.org/10.1631/jzus.C1300123. |
MLA | Zhang, Xiao-li,et al."Exponential stability of nonlinear impulsive switched systems with stable and unstable subsystems".http://dx.doi.org/10.1631/jzus.C1300123 (2014). |
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