New Delay-Dependent Stability Criterion For Stochastic Recurrent Neural Networks

In this paper, the problem of delay-dependent robust stability for uncertain stochastic neural networks with time-varying delay is considered. Based on Lyapunov stability theory combined with linear matrix inequalities (LMI) techniques, some new delay-dependent stability criteria in terms of LMI are derived by introducing some free weighing matrices and using Leibniz-Newton formula which can be selected properly to lead to less conservative results. Finally, two examples are given. One is given to illustrate, the other is an extended model for prevenient systems.