Improved Stability Criteria for A Class of Stochastic Time-delay Systems with Norm Bounded and Nonlinear Uncertainties

The problem of robustly asymptotical stability for a class of stochastic time-delay systems with norm bounded and nonlinear uncertainties is considered. In order to save computing time, the approach proposed here chooses the delay fraction number as two, avoids to use any free weighting matrix and slack matrix, and estimates more accurately the item integral(t-h1)(t-h2) y(T)(alpha)Q(1y)(alpha)d alpha. It is mathematically shown that the conservativeness of the stability criteria investigated in this paper will become less when the positive integer s, involved in the estimation of integral(t-h1)(t-h2) y(T)(alpha)Q(1y)(alpha)d alpha, increases. Mathematical and numerical comparison of the approach proposed in this paper and ones in literature, which indicates that the proposed approach may be more effective than ones in literature.