Exponential stability analysis for positive systems with delays

Abstract

This paper investigates the exponential stability analysis problem for continuous-time and discrete-time positive systems with delays. Necessary conditions for exponential stability of such systems are presented based on the asymptotical stability results of linear positive time-delay systems, and sufficient conditions are provided by using Lyapunov-Krasovskii functional method. It is shown that, unlike asymptotical stability of positive time-delay systems, which is independent of delays, exponential stability of positive time-delay systems has to do with the magnitude of delays. Some illustrative examples are given to show the correctness of the obtained theoretical results.