Delay-dependent Exponential Stability of Uncertain Stochastic Systems with Time-varying Delay and Nonlinearities

【摘要】：This paper deals with the problem of delay-dependent exponential stability in the mean square for a class of uncertain stochastic systems with time-varying delay and nonlinearities.By using Lyapunov-Krosovskii functional method combined with linear matrix inequalities(LMIs) techniques,some new delay-dependent stability criteria in terms of LMIs are derived by introducing some free weighting matrices which can be selected properly to lead to less conservative results.Maximum al-lowable delay bound(MADB) to guarantee the exponential stability of the systems can be obtained effectively by solving a set of LMIs.Numerical example and simulation are given to show that the proposed methods are effective and are much less conservative than some existing results.