EXPONENTIAL STABILITY OF A CLASS OF POSITIVE NONLINEAR SYSTEMS WITH MULTIPLE TIME-VARYING DELAYS

Abstract

This paper is concerned with the problem of exponential stability of a class of positive nonlinear systems with heterogeneous time-varying delays which describe a model of Hopfield neural networks with nonlinear self-inhibition rates. Based on a novel comparison technique via a differential and integral inequalities, testable conditions are derived to ensure system state trajectories converge exponentially to a unique positive equilibrium. The effectiveness of the obtained results is illustrated by a numerical example.