Mathematical Problems in Engineering
Volume 2012 (2012), Article ID 848942, 14 pages
http://dx.doi.org/10.1155/2012/848942
Research Article

Leader-Following Consensus in Networks of Agents with Nonuniform Time-Varying Delays

Zhao-Jun Tang,1,2 Ting-Zhu Huang,1 Jiang-Ping Hu,3 and Jin-Liang Shao1

1School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China
2School of Science, Chongqing Jiaotong University, Chongqing 400074, China
3School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China

Received 30 October 2011; Revised 26 March 2012; Accepted 27 March 2012

Academic Editor: Victoria Vampa

Copyright © 2012 Zhao-Jun Tang et al. 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

This paper is concerned with a leader-following consensus problem for networks of agents with fixed and switching topologies as well as nonuniform time-varying communication delays. By employing Lyapunov-Razumikhin function, a necessary and sufficient condition is derived in the case of fixed topology, and a sufficient condition is obtained in the case when the interconnection topology is switched and satisfies certain condition. Simulation results are provided to illustrate the theoretical results.