Advances in Difference Equations
Volume 2008 (2008), Article ID 184275, 17 pages
doi:10.1155/2008/184275
Research Article

Robust Impulsive Synchronization of Discrete Dynamical Networks

Ming Lei1 and Bin Liu1,2

1Department of Information and Computation Science, College of Science, Chongqing Jiaotong University, Chongqing, 400074, China
2Department of Information Engineering, The Australian National University, ACT 0200, Australia

Received 17 June 2007; Revised 13 November 2007; Accepted 11 January 2008

Academic Editor: Roderick Melnik

Copyright © 2008 Ming Lei and Bin Liu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We aim to study robust impulsive synchronization problem for uncertain discrete dynamical networks. For the discrete dynamical networks with unknown but bounded network coupling, we will design some robust impulsive controllers which ensure that the state of a discrete dynamical network asymptotically synchronize with an arbitrarily assigned state of an isolate node of the network. Three representative examples are also worked through to illustrate our results.