Exponential synchronization of complex delayed dynamical networks with general topology

Abstract

The global exponential synchronization of complex delayed dynamical networks possessing general topology is investigated in this contribution. The network model considered can represent both the directed and undirected weighted networks. Novel delay-dependent linear controllers are designed via Lyapunov stability theory and appropriate property of the coupling matrix. It is shown that the controlled networks are globally exponentially synchronized with a given convergence rate. An example of typical dynamical network with coupling delays of this class, having the unified chaotic system at each node, have been used to demonstrate and verify the novel design proposed. The network possesses weighted and directed coupling topology, and the computer simulation showed the effectiveness of the proposed control design. © 2007 Elsevier Ltd. All rights reserved.