Exponential stability result for discrete-time stochastic fuzzy uncertain neural networks

This Letter addresses the stability analysis problem for a class of uncertain discrete-time stochastic fuzzy neural networks (DSFNNs) with time-varying delays. By constructing a new Lyapunov–Krasovskii functional combined with the free weighting matrix technique, a new set of delay-dependent sufficient conditions for the robust exponential stability of the considered DSFNNs is established in terms of Linear Matrix Inequalities (LMIs). Finally, numerical examples with simulation results are provided to illustrate the applicability and usefulness of the obtained theory.

► Applications of neural networks require the knowledge of dynamic behaviors.
► Exponential stability of discrete-time stochastic fuzzy neural networks is studied.
► Linear matrix inequality optimization approach is used to obtain the result.
► Delay-dependent stability criterion is established in terms of LMIs.
► Examples with simulation are provided to show the effectiveness of the result.