Stability Analysis of Discrete-Time Switching Positive System with Delays: Homogeneous Polynomial Copositive Lyapunov Function Method

摘要

This paper addresses the stability issue of a discrete-time positive switched system with time-varying delays. By means of system's positivity, we propose a new method, called homogeneous polynomial copositive Lyapunov function method, and then present a stability condition to check whether or not the considered system is stable. An example is provided to illustrate the theoretical results in this paper.