Reachable set estimation for discrete-time switched nonlinear positive systems with time delays

This paper studies the reachable set estimation for discrete-time switched nonlinear positive systems with time delays whose vector fields are homogeneous of degree one and order-preserving. By using a new analytical technique, we establish necessary and sufficient conditions such that all solutions of the system exponentially converge to a ball under average dwell time switching. Compared with the existing results, the average dwell time given in this paper is less conservative. Finally, numerical examples are given to illustrate the effectiveness of our results.