A direct analysis method to globalh‐stability of delayed time‐varying nonlinear positive systems

Abstract

SummaryThis paper focuses on the global ‐stability of the nonlinear positive system with multiple time‐varying delays. Through differentiated expressions of the function , the global ‐stability could be referred to as several known stabilities, including Lagrange stability, asymptotic stability, global exponential stability, global practical stability, and so forth. By proposing a direct analysis method that differs from the so‐called Lyapunov‐Krasovskii functional method, we presented a sufficient condition for the global ‐stability of such system. The obtained stability condition appeared in the form of a number of simple inequalities, which could be easily handled by the toolbox YALMIP loaded in MATLAB. The applicability of our results have been illustrated by three numerical examples.