Adaptive exponential synchronization of uncertain complex dynamical networks with delay coupling

Abstract

This paper studies the global exponential synchronization of uncertain complex dynamical networks with delay coupling. The network model considered is general dynamical delay networks with unknown network structure and unknown coupling functions but bounded. Novel adaptive controllers are designed via the Lyapunov stability theory. Especially, it is shown that the controlled networks are globally exponentially synchronized with a given convergence rate. An example of typical dynamical network, having the Lorenz system at each node, has been used to demonstrate and verify the novel design proposed. And, the numerical simulation results show the effectiveness of proposed synchronization approaches.