Stability criteria of a class of nonlinear impulsive switching systems with time-varying delays

作者：Wang Qing^*; Liu Xinzhi

来源：Journal of the Franklin Institute, 2012, 349(3): 1030-1047.

DOI：10.1016/j.jfranklin.2011.12.005

This paper investigates stability problems of a class of nonlinear impulsive switching systems with time-varying delays. Based on the common Lyapunov function method and Razumikhin technique, several stability criteria are established for nonlinear impulsive switching systems with time-varying delays. Our results show that switching systems can be stabilized by impulsive switching signals even if the system matrices are all unstable. In the absence of impulses, some of our results reduce to similar stability criteria for nonimpulsive switching systems in some recent research articles. Several examples with simulations are given to illustrate the efficiency of our results.

• 出版日期2012-4