Exponential Stability Results of Discrete-Time Stochastic Neural Networks with Time-Varying Delays

Abstract EN

An innovative stability analysis approach for a class of discrete-time stochastic neural networks (DSNNs) with time-varying delays is developed.

By constructing a novel piecewise Lyapunov-Krasovskii functional candidate, a new sum inequality is presented to deal with sum items without ignoring any useful items, the model transformation is no longer needed, and the free weighting matrices are added to reduce the conservatism in the derivation of our results, so the improvement of computational efficiency can be expected.

Numerical examples and simulations are also given to show the effectiveness and less conservatism of the proposed criteria.