LMI-based approach for global exponential robust stability for reaction–diffusion uncertain neural networks with time-varying delay

Abstract

Global exponential robust stability is considered for a class of reaction–diffusion uncertain neural networks with time-varying delays. The purpose of the problem addressed is to establish some easy-to-test criteria for global exponential robust stability for the uncertain systems by means of a new Lyapunov–Krasovskii functional and a linear matrix inequality (LMI). A numerical example is exploited to show the usefulness of the derived LMI-based stability conditions.