Exponential synchronization of master-slave neural networks with mixed time-varying delays via hybrid intermittent feedback control

Abstract

In this paper, we investigate the problem of exponential synchronization for master-slave neural networks with mixed time-varying delays via hybrid intermittent feedback control. The constraint on the derivative of the time-varying delay is not required which allows the time-delay to be a fast time-varying function. Based on the construction of improved Lyapunov-Krasovskii functionals is combined with Leibniz-Newtons formula and the technique of dealing with some integral terms. New delay-dependent sufficient conditions for the exponential synchronization of the error systems with memoryless hybrid feedback control are first established in terms of LMIs without introducing any free-weighting matrices. The designed controller ensures that the synchronization of the error systems are proposed via hybrid intermittent feedback control. Numerical simulations are presented to illustrate the effectiveness of these synchronization criteria. © 2014 Academic Publications, Ltd.