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Consensus of fractional-order multi-agent systems with input time delay

  • Wei Zhu EMAIL logo , Bo Chen and Jie Yang
Published/Copyright: February 17, 2017

Abstract

Many phenomena in inter-disciplinary fields can be explained naturally by coordinated behavior of agents with fractional-order dynamics. Under the assumption that the interconnection topology of all agents has a spanning tree, the consensuses of linear and nonlinear fractional-order multi-agent systems with input time delay are studied, respectively. Based on the properties of Mittag-Leffler function, matrix theory, stability theory of fractional-order differential equations, some sufficient conditions on consensus are derived by using the technique of inequality, which shows that the consensus can be achieved for any bounded input time delay. Finally, two numerical examples are given to illustrate the effectiveness of the theoretical results.

Acknowledgements

This work is supported partly by National Natural Science Foundation of China under Grant 61673080, 61403314, partly by Training Programme Foundation for the Talents of Higher Education by Chongqing Education Commission, partly by Innovation Team Project of Chongqing Education Committee under Grant CXTDX201601019.

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Received: 2015-5-28
Revised: 2016-6-27
Published Online: 2017-2-17
Published in Print: 2017-2-1

© 2017 Diogenes Co., Sofia

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