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Mathematical Problems in Engineering
Volume 2014, Article ID 240503, 10 pages
Research Article

Leader-Following Consensus of Multiagent Systems with Time-Varying Delays via Impulsive Control

1Institute of Mathematics and Statistics, Chongqing University of Technology, Chongqing 400054, China
2Department of Mathematics and Computer Science, Tongren College, Tongren 554300, China

Received 11 November 2013; Accepted 14 January 2014; Published 10 March 2014

Academic Editor: Marcelo Moreira Cavalcanti

Copyright © 2014 Zhiyong Ye 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.


The leader-following consensus problem for delayed multiagent systems is investigated over stochastic switching topologies via impulsive control method. A distributed consensus protocol is proposed based on sample data information. The convergence analysis for such algorithm over undirected and directed networks is provided, and some sufficient conditions to guarantee the consensus are also established. It is shown that delayed networks can achieve consensus even information is exchanged among followers just at some discrete moments. At last, some numerical examples are given to illustrate the effectiveness of the proposed protocols.