Stability Analysis of Delay-independent Cellular Neural Network and Its Application in Secret Communication

Determining stability problems of Cellular Neural Network(CNN) with delays is researched and a set of sufficient conditions which is used to judge whether cellular neural networks with delays has a unique equilibrium and global asymptotic stability is received.A new Lyapunov-Krasovskii functional is constructed and methods including Lyapunov stability theory and linear matrix inequalities is adopted.The digital simulation results prove effectiveness with feasibility and delay-independent property of the judgment condition.Examples are given to illustrate the good application of the conclusion in secure communication.