ALMOST PERIODIC SYNCHRONIZATION FOR COMPLEX-VALUED NEURAL NETWORKS WITH TIME-VARYING DELAYS AND IMPULSIVE EFFECTS ON TIME SCALES

Abstract

We propose a class of complex-valued neural networks with timevarying delays and impulsive effects on time scales. By employing the Banach fixed point theorem and differential inequality technique on time scales, we obtain the existence of almost periodic solutions for this networks. Then, by constructing a suitable Lyapunov function, we obtain that the drive-response structure of complex-valued neural networks with almost periodic coefficients can realize the global exponential synchronization. Our results are completely new. Finally, we give an example to illustrate the feasibility of our results.