Synchronization of impulsive coupled complex-valued neural networks with delay: The matrix measure method.

Abstract

In this paper, the exponential synchronization of the impulsive coupled delayed complex-valued neural networks (CVNNs) is studied. Without constructing the Lyapunov function, a novel approach based on the matrix measure and extended Halanay inequality is presented and some sufficient criteria for exponential synchronization of the addressed CVNNs are derived. In this paper, the restriction of the real and imaginary parts of activation functions which are supposed to depend only on the real and imaginary parts of the variables, respectively, is removed. Furthermore, by employing the average impulsive interval method, the requirement on the upper bound of the impulsive intervals is removed for impulsive signal transmission. Finally, numerical examples are provided to demonstrate the effectiveness of the theoretical results obtained, even for large-scale CVNNs with impulsive coupling.