Synchronization of Complex Dynamical Networks with Switching Topology via Adaptive Control

Abstract

In this paper, we study a general complex dynamical network with switching topology and unknown but bounded time-varying couplings. The dynamics of the network nodes are also assumed to be unknown but satisfying some bound conditions. Based on Lyapunov stability theory, adaptive control laws are derived for the network nodes of unknown dynamics to asymptotically synchronize to an isolated node. An example and simulation results are provided for illustration of the network synchronization.