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Keywords:

  • adaptive control;
  • synchronization;
  • uncertain systems;
  • time delays

Abstract

In this paper, synchronization of an uncertain dynamical network with time-varying delay is investigated by means of adaptive control schemes. Time delays and uncertainties exist universally in real-world complex networks. Especially, parameters of nodes in these complex networks are usually partially or completely uncertain. Considering the networks with unknown or partially known nodes, we design adaptive controllers for the corresponding complex dynamical networks, respectively. Several criteria guaranteeing synchronization of such systems are established by employing the Lyapunov stability theorem. Analytical and numerical results show that the proposed controllers have high robustness against parameter variations including network topologies, coupling structures, and strength. Copyright © 2008 John Wiley & Sons, Ltd.