Absolute stability for lure systems with time-varying delay and disturbance

Abstract

This paper is concerned with the absolute stability criteria of Lure systems with time-varying delay and disturbance. Two cases of time-varying delay are given, one is continuous-uniformly bounded and the other one is differentiable-uniformly bounded with the derivative of the delay bounded by a constant. Based on Lyapunov function method, some absolute stability criteria are achieved in terms of linear matrix inequities. Numerical examples are given to show the effectiveness of the obtained results.