Exponential synchronization of general complex delayed dynamical networks via adaptive feedback control

Abstract

This paper studies the problem of controlling complex delayed dynamical networks by applying adaptive linear feedback controllers to each node. By using Lyapunov functional method, we give the criteria of globally exponential synchronization of the controlled complex delayed dynamical networks. The obtained criteria are suitable to the network with general properties, such as, with hybrid coupling, with different time delays, with asymmetric coupling configuration matrices, and so on. It is useful for future practical engineering design for its universality. Some simulations are given to verify the effectiveness of our scheme. © 2009 ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering.