A direct analysis method to global [formula omitted]-stability of time-varying positive systems with multiple mixed delays

Abstract

This article has investigated the global h-stability for differential positive systems with multiple discrete time-varying delays and constant distributed delays. By taking the different expressions of the function h, the global h-stability can represent several known stability, including Lagrange stability, asymptotic stability, global exponential stability, and so on. By proposing a direct analysis method diverse from the so-called Lyapunov–Krasovskii functional method, we have presented a sufficient condition for the global h-stability of such systems. The obtained stability condition is in the form of some simple inequalities, so the toolbox YALMIP in MATLAB is able to handle it easily. Finally, several numerical examples are presented to help illustrate the applicability of our results.