General Decay Lag Synchronization for Competitive Neural Networks with Constant Delays

Abstract

This paper is concerned with the general decay lag synchronization problem for a class of competitive neural networks with constant delays via designing a novel nonlinear feedback controller. Based on the useful lemma, which guarantee the general decay synchronization of chaotic systems, some simple sufficient criteria ensuring the general decay lag synchronization of addressed competitive neural networks are obtained via constructing a novel Lyapunov–Krasovskii functional and using some inequality techniques. Finally, one numerical example is provide to demonstrate the feasibility of the established theoretical results. The results of this paper are general since the classical polynomial synchronization and exponential synchronization can be seen the special cases of general decay synchronization.