Abstract:

By constructing the new Lyapunov functional, ingeniously importing real parameters which can be adjusted, and making use of the inequalities, the global asymptotic stability of delayed cellular neural networks with variable coefficient was discussed and new sufficient conditions were obtained. The results of this paper improve, extend, unify and complement a number of existing results. They also handle a number of cases not covered by known criteria. Theoretical analysis and mathematical derivation show that the global asymptotic stability is related to the delay. The results we obtained highlight the impact of delay on the global asymptotic stability of cellular neural networks. This is of important guiding significance for the design of cellular neural networks with delay. Interesting examples were included to show the versatility of our results. And they greatly enlarge the area of designing neural networks. This has important significance in both theory and application.

Key words: delayed cellular neural networks;global asymptotic stability;Lyapunov functional