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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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