Synchronization for a class of complex dynamical networks with time-varying delay and parameter uncertainty

Abstract

This paper deals with the problem of synchronization for delayed complex dynamical networks composed of uncertain Lur'e systems. Based on the absolute stability theory and a special decentralized control strategy, some sufficient conditions are derived such that the controlled complex dynamical network is synchronous for all admissible uncertainties. These synchronization criteria are dependent on the size of time-delay and can be expressed by means of matrix inequalities. Our results obtained extend and improve some previously related results. Finally, a complex network composed of Chua's oscillators with uncertainties is adopted as a numerical example to demonstrate the effectiveness of the proposed results.