一类具有大时滞的切换时滞系统的稳定性分析

Stability analysis of a class of switched delay systems with large delay period

研究了一类具有大时滞的切换时滞系统稳定性分析的问题,提出了具有大时滞的非线性切换时滞系统指数稳定的判定方法。考虑大时滞存在时,线性切换时滞系统的一些子系统可能不稳定的情况下,通过构造新的Lyapunov函数,使用自由权矩阵方法和平均驻留时间方法,得到所考虑系统是指数稳定的充分条件;并举出数值例子验证了所提出方法的有效性。

The stability issue of a class of switched delay systems with large delay period is studied. A sufficient criterion is proposed to guarantee exponentially stability of nonlinear switched delay systems with large delay period. Then some subsystems of linear switched delay systems may unstable when the large delay period exists are considered, the sufficient conditions are pro- vided to ensure the exponentially stability of the systems which we consider by constructing a new Lyapunov functional and using the free-weighting matrix method and the average dwell time method. A numerical example is given to illustrate the validity of the presented method.