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Consensus of Fractional-Order Multi-Agent Systems with Input Time Delay

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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.

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Authors and Affiliations

  1. Research Center for System Theory and Application, Chongqing University of Posts and Telecommunications, 2# Road, Nan’an District, Chongqing, 400065, PR China

    Wei Zhu, Bo Chen & Jie Yang

Authors
  1. Wei Zhu
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  2. Bo Chen
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  3. Jie Yang
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Correspondence to Wei Zhu.

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Zhu, W., Chen, B. & Yang, J. Consensus of Fractional-Order Multi-Agent Systems with Input Time Delay. FCAA 20, 52–70 (2017). https://doi.org/10.1515/fca-2017-0003

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  • DOI: https://doi.org/10.1515/fca-2017-0003

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