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Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 854960, 7 pages
http://dx.doi.org/10.1155/2013/854960
Research Article

Collaboration Control of Fractional-Order Multiagent Systems with Sampling Delay

1School of Information and Electrical Engineering, Ludong University, Yantai 264025, China
2National Key Laboratory on Aircraft Control Technology, Beihang University, Beijing 100191, China

Received 2 February 2013; Accepted 16 April 2013

Academic Editor: Yang Yi

Copyright © 2013 Hong-yong 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.

Abstract

Because of the complexity of the practical environments, many distributed multiagent systems cannot be illustrated with the integer-order dynamics and can only be described with the fractional-order dynamics. In this paper, collaboration control problems of continuous-time networked fractional-order multiagent systems via sampled control and sampling delay are investigated. Firstly, the sampled-data control of multiagent systems with fractional-order derivative operator is analyzed in a directed weighted network ignoring sampling delay. Then, the collaborative control of fractional-order multiagent systems with sampled data and sampling delay is studied in a directed and symmetrical network. Many sufficient conditions for reaching consensus with sampled data and sampling delay are obtained. Some numerical simulations are presented to illustrate the utility of our theoretical results.