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	Robust exponential stability and L2-gain for switched discrete-time nonlinear cascade systems
	Yan, Han ; Zhang, Xiaoli ; Zhang XL(张霄力)
	2014
关键词	Asymptotic stability Inverse problems Lyapunov functions Matrix algebra Multivariable control systems Nonlinear systems Stability
英文摘要	Conference Name:Proceedings of the 33rd Chinese Control Conference, CCC 2014. Conference Address: Nanjing, China. Time:July 28, 2014 - July 30, 2014.; Systems Engineering Society of China; Technical Committee on Control Theory of Chinese Association of Automation; The robust exponential stability and L2-gain for a class of switched discrete-time nonlinear cascade systems are considered in this paper. Firstly, the exponential stability for switched discrete-time nonlinear cascade systems affected by norm-bounded time-varying uncertainties is studied. With an inequality of the inverse matrix and other matrix inequalities, the uncertainties in systems can be subtly handled. Using the average dwell-time method and piecewise Lyapunov function approach, a sufficient condition of the robust exponential stability for switched systems in this case is given. Then, the L2-gain of switched discrete-time nonlinear cascade systems with the externally disturbed input is analyzed. The sufficient conditions of the exponential stability and L2-gain for switched nonlinear systems are obtained under the designed switching law. Finally, the simulations are given to show the validity of the results. ? 2014 TCCT, CAA.
语种	英语
出处	http://dx.doi.org/10.1109/ChiCC.2014.6895642
出版者	IEEE Computer Society
内容类型	其他
源URL	[http://dspace.xmu.edu.cn/handle/2288/86897]
专题	信息技术－会议论文
推荐引用方式 GB/T 7714	Yan, Han,Zhang, Xiaoli,Zhang XL. Robust exponential stability and L2-gain for switched discrete-time nonlinear cascade systems. 2014-01-01.

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