Improved Stability Criteria of Static Recurrent Neural Networks with a Time-Varying Delay

Abstract EN

This paper investigates the stability of static recurrent neural networks (SRNNs) with a time-varying delay.

Based on the complete delay-decomposing approach and quadratic separation framework, a novel Lyapunov-Krasovskii functional is constructed.

By employing a reciprocally convex technique to consider the relationship between the time-varying delay and its varying interval, some improved delay-dependent stability conditions are presented in terms of linear matrix inequalities (LMIs).

Finally, a numerical example is provided to show the merits and the effectiveness of the proposed methods.