Novel delay-dependent robust stability criteria of hopfield neural networks with time-varying delay

This paper investigates the robust stability problem of Hopfield neural networks(HNNs) with time-varying delay. Two novel LMI-based delay-dependent robust stability criteria are obtained by constructing appropriate Lyapunov-Krasovskii functional. This new criteria based on the free-weighting matrices approach prove to be less conservativeness, which not only retain any useful terms in the derivative of Lyapunov-Krasovskii functional, but also consider the relationship among the time-delay, its upper bound and their difference. Finally, some numerical examples are given to demonstrate its merits and effectiveness of the proposed methods.