A direct analysis method to global h-stability of time-varying positive systems with multiple mixed delays

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. (c) 2022 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

Automated summary

This article investigates the global h-stability for differential positive systems with multiple discrete time-varying delays and constant distributed delays. By proposing a direct analysis method, a sufficient condition for the global h-stability is obtained and represented in simple inequality form for easy handling.