Delay-dependent exponential stabilization for nonlinear systems with interval discrete and distributed time-varying delays via intermittent control

Abstract

In this paper, the problem of exponential stabilization for a class of nonlinear systems with interval discrete and distributed time-varying delays is studied. The time delay is a continuous function belonging to a given interval. Based on the constructing of improved Lyapunov-Krasovskii functionals combined with Leibniz-Newton's formula, new delay-dependent sufficient conditions for the exponential stabilization of the systems are first established in terms of LMIs without introducing any free-weighting matrices and independent on the derivatives of the interval time-varying and distributed delays. The controller design are proposed intermittent feedback control. Numerical examples are given to illustrate the effectiveness of our theoretical results. © 2012 IEEE.