Exponential stability for positive switched linear systems with delays and impulses

Abstract

This paper studies the exponential stability of positive switched linear systems with delays and impulses. First, based on the multiple linear co-positive Lyapunov functional approach and the average dwell time method, a delay-dependent exponential stability criterion is presented for the positive switched linear system with time-varying delays. Second, the nonlinear impulsive effect occurring at the switching times is considered. By keeping impulsive perturbation within reasonable bounds and establishing multiple co-positive Lyapunov function, a sufficient condition is obtained for globally uniformly exponentially stable of impulsive positive switched system. Finally, an illustrative example is studied to support our new results.