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Discrete Dynamics in Nature and Society
Volume 2017, Article ID 9256532, 8 pages
https://doi.org/10.1155/2017/9256532
Research Article

Consensus Analysis of Fractional-Order Multiagent Systems with Double-Integrator

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

Correspondence should be addressed to Wei Zhu; nc.ude.tpuqc@iewuhz

Received 25 July 2016; Accepted 14 December 2016; Published 2 January 2017

Academic Editor: Seenith Sivasundaram

Copyright © 2017 Chunde 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

In nature, many phenomena can be explained by coordinated behavior of agents with fractional-order dynamics. In this paper, the consensus problem of fractional-order multiagent systems with double-integrator is studied, where the fractional-order satisfies . Based on the fractional-order stability theory, Mittag-Leffler function, and Laplace transform, a necessary and sufficient condition is obtained under the assumption that the directed graph for the communication network contains a directed spanning tree. Finally, an example with simulation is presented to illustrate the theoretical results.