Stability of stochastic systems with nonlinear uncertainties and time-varying delays

This paper considers stability of stochastic systems with nonlinear uncertainties and time-varying delays. By introducing some slack matrix matrices, a delay-dependent stability criterion is obtained based on Lyapunov-Krasovskii theory. The proposed condition, which is formulated in terms of linear matrix inequalities (LMIs), is constructed without using the model transformation and cross term bounding techniques. Some term which was ignored in previous methods is considered in our result. Two numerical examples are provided to demonstrate the less conservatism of the method.