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Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 390691, 9 pages
http://dx.doi.org/10.1155/2012/390691
Research Article

Consensus of Discrete Time Second-Order Multiagent Systems with Time Delay

Research Center of System Theory and Application, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

Received 1 June 2012; Accepted 14 November 2012

Academic Editor: Antonia Vecchio

Copyright © 2012 Wei Zhu. 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

The consensus problem for discrete time second-order multiagent systems with time delay is studied. Some effective methods are presented to deal with consensus problems in discrete time multiagent systems. A necessary and sufficient condition is established to ensure consensus. The convergence rate for reaching consensus is also estimated. It is shown that arbitrary bounded time delay can safely be tolerated. An example is presented to illustrate the theoretical result.