Exponential stability of nonlinear impulsive switched systems with stable and unstable subsystems

被引：0
作者：
Xiao-li Zhang
An-hui Lin
Jian-ping Zeng
机构：
[1] Xiamen University,School of Information Science and Technology
来源：
Journal of Zhejiang University SCIENCE C | 2014年 / 15卷
关键词：
Average dwell time; Impulse; Exponential stability; Robustness; TP13;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：31 / 42
页数：11
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