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

Chunde Yang, Wenjing Li and Wei Zhu

Discrete Dynamics in Nature and Society, 2017, vol. 2017, 1-8

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.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:9256532

DOI: 10.1155/2017/9256532

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