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Mathematical Problems in Engineering
Volume 2014 (2014), Article ID 616024, 7 pages
http://dx.doi.org/10.1155/2014/616024
Research Article

Consensus of the Multiagent System with a Dynamic Leader Based on Directed Topology Using Laplace Transform

1College of Science, North China University of Technology, Beijing 100144, China
2College of Mechanical and Electrical Engineering, North China University of Technology, Beijing 100144, China
3Power Electronics and Motor Driving Engineering Center, North China University of Technology, Beijing 100144, China

Received 26 June 2014; Accepted 19 July 2014; Published 5 August 2014

Academic Editor: Wei Zhang

Copyright © 2014 Bo Liu 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

The consensus of the multiagent system with directed topology and a leader is investigated, in which the leader is dynamic. Based on Laplace transform method, the accurate upper error bound between the leader and the followers can be obtained. It is also proved that all agents of the system will aggregate and eventually form a cohesive cluster following the leader if the leader is globally reachable. Finally, some simulation examples are given to illustrate the theoretical results.