Globally exponential stability of nonlinear impulsive switched systems

Abstract

In this paper, we investigate the stability properties of a general class of nonlinear impulsive switched systems that include both stable and unstable subsystems. By using multiple Lyapunov-functions and the dwell-time approach, several criteria on globally exponential stability are established. It is shown that by suitably controlling the switching between the stable and unstable subsystems, the globally exponential stability of the nonlinear impulsive switched systems can be achieved. Finally, an example is given to show the effectiveness of the derived results.