一类切换系统的指数稳定性分析

Analysis of exponential stability of a switched systems

利用向量投影理论讨论自治切换系统的指数稳定性.首先给出线性切换系统稳定充分条件,在一定条件下,可以推广到一类非线性系统而得到其稳定的充分条件.这种方法比一般的Lya punov函数方法更容易应用.最后给出一个仿真例子对结论进行验证.

Using the vector projection theory ,the exponential stability of autonomous switched systems is investigated.Firstly,the sufficient conditions of stability of linear switched systems is presented; Furthermore,the sufficient conditions of stability of nonlinear switched systems is extended when the system satisfies some conditions.Comparing with Lyapunov function method currently used,this approach is more applicable.Finally,simulation examples are given to show the validity of the result.