摘要
研究了一类线性时变切换系统及其带有非线性扰动系统在任意切换律下的稳定性 .首先导出了线性时变切换系统在任意切换律下指数稳定的充分条件 .然后 ,研究了其带非线性扰动项的系统在任意切换律下的全局指数稳定性特性 .最后 ,用数值例子对所得结果加以了阐明 .
The paper studied the stability properties of a class of linear timevariant switched systems and their systems with certain nonlinear perturbations under certain switching laws. First, it establishes sufficient conditions for exponential stability of linear timevariant swiched systems under arbitrary swiching laws. Then, it studies the above timevariant linear switched systems with certain nonlinear perturbations term. Under reasonable assumptions, global exponential stability is established for these systems. Finally, it gives a numerical example to illustrate the effectiveness of the theoretical results.
出处
《华中师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2002年第3期265-268,共4页
Journal of Central China Normal University：Natural Sciences
基金
国家自然科学基金资助项目 ( 6 0 0 740 0 9) .
