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Mathematical Problems in Engineering
Volume 2014, Article ID 793903, 7 pages
Research Article

Distributed Coordination of Fractional Dynamical Systems with Exogenous Disturbances

School of Information and Electrical Engineering, Ludong University, Yantai 264025, China

Received 13 February 2014; Accepted 18 June 2014; Published 21 July 2014

Academic Editor: Adem Kılıçman

Copyright © 2014 Hongyong Yang 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.


Distributed coordination of fractional multiagent systems with external disturbances is studied. The state observer of fractional dynamical system is presented, and an adaptive pinning controller is designed for a little part of agents in multiagent systems without disturbances. This adaptive pinning controller with the state observer can ensure multiple agents' states reaching an expected reference tracking. Based on disturbance observers, the controllers are composited with the pinning controller and the state observer. By applying the stability theory of fractional order dynamical systems, the distributed coordination of fractional multiagent systems with external disturbances can be reached asymptotically.