Abstract

To reveal the dynamical mechanism of anti-synchronization in complex networks with time delays, a general complex dynamical network with delayed nodes is introduced. Based on the Lyapunov stability theory, this paper presents the feedback controllers for anti-synchronization of complex delayed dynamical networks. Several sufficient conditions are drawn for the stability of the error dynamics and the design of the feedback controllers. Numerical simulations are performed to verify and illustrate the analytical results.

Key words: Complex networks, time delay, anti-synchronization, feedback control.