Delay-dependent robust stabilization of uncertain stochastic system with time-varying delay

Abstract

In this paper, we consider the delay-dependent robust stabilization of uncertain stochastic system with time-varying delay using Lyapunov-Krasovskii (LK) functional approach. By exploiting a candidate LK functional and using free-weighting matrices in the delay-dependent analysis, a less conservative sufficient condition for the existence of a memoryless state feedback controller. A numerical example is presented to illustrate the effectiveness of the proposed result.