Stability and L2 performance analysis of stochastic delayed neural networks

This brief focuses on the robust mean-square exponential stability and L2 performance analysis for a class of uncertain time-delay neural networks perturbed by both additive and multiplicative stochastic noises. New mean-square exponential stability and L2 performance criteria are developed based on the delay partition Lyapunov–Krasovskii functional method and generalized Finsler lemma which is applicable to stochastic systems. The analytical results are established without involving any model transformation, estimation for cross terms, additional freeweighting matrices, or tuning parameters. Numerical examples are presented to verify that the proposed approach is both less conservative and less computationally complex than the existing ones