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 network is globally exponentially synchronized with a given convergence rate. Two examples of typical dynamical networks with coupling delays of this class, one possesses directed and the other with undirected coupling topology, both having a Lorenz system at each node, have been used to demonstrate and verify the novel control design proposed.