Synchronization of uncertain complex dynamical networks via adaptive control
Article first published online: 18 JUN 2008
Copyright © 2008 John Wiley & Sons, Ltd.
International Journal of Robust and Nonlinear Control
Volume 19, Issue 5, pages 495–511, 25 March 2009
How to Cite
Wang, L., Dai, H., Kong, X. and Sun, Y. (2009), Synchronization of uncertain complex dynamical networks via adaptive control. Int. J. Robust Nonlinear Control, 19: 495–511. doi: 10.1002/rnc.1326
- Issue published online: 10 FEB 2009
- Article first published online: 18 JUN 2008
- Manuscript Accepted: 11 MAR 2008
- Manuscript Revised: 13 DEC 2007
- Manuscript Received: 19 APR 2007
- adaptive control;
- uncertain systems;
- time delays
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.