Improved Stability Criteria for Uncertain Stochastic Systems with Time-Delay

【摘要】：正This paper is concerned with the asymptotical stability in mean square for uncertain stochastic time-delay system. Firstly,a new variable is defined,by which some slack matrices are introduced to reduce the conservatism of the result.Then, a proper Lyapunov-Krasovskii functional is constructed and its infinitesimal operator is calculated by Ito calculus rules and the statistic properties of the Brownian motion,and as a result the delay-dependent stability criteria are obtained via an LMI approach.Finally,numerical examples are given to illustrate the significant improvement on the conservativeness of the delay bound over some existing results.