Abstract and Applied Analysis
Volume 2013, Article ID 612342, 8 pages
http://dx.doi.org/10.1155/2013/612342
Third-Order Leader-Following Consensus in a Nonlinear Multiagent Network via Impulsive Control
1School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, China
2Department of Mathematics, Southeast University, Nanjing 210096, China
Received 15 June 2013; Accepted 24 August 2013
Academic Editor: Qiankun Song
Copyright © 2013 Xiaomei Li 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
Many facts indicate that the impulsive control method is a finer method, which is simple, efficient, and low in cost, for achieving consensus. In this paper, based on graph theory, Lyapunov stability theory, and matrix theory, a novel impulsive control protocol is given to realize the consensus of the multiagent network. Numerical simulations are performed to verify the theoretical results.