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Target-encirclement control of fractional-order multi-agent systems with a leader

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  • Mo, Lipo
  • Yuan, Xiaolin
  • Yu, Yongguang

Abstract

This paper addresses the target-encirclement control problem of fractional-order multi-agent systems(FOMASs) with a leader, where the state information of the target can only be obtained by the leader while followers cannot. First, a new target-encirclement control protocol is proposed, where the state estimators of the leader and the target are induced. Next, some sufficient conditions based on the theory of Mittag-Leffler stability are given for achieving target-encirclement control of FOMASs with a leader. Finally, simulation results are provided to demonstrate the effectiveness of the presented results.

Suggested Citation

  • Mo, Lipo & Yuan, Xiaolin & Yu, Yongguang, 2018. "Target-encirclement control of fractional-order multi-agent systems with a leader," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 479-491.
    • Handle: RePEc:eee:phsmap:v:509:y:2018:i:c:p:479-491
    DOI: 10.1016/j.physa.2018.06.014
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    References listed on IDEAS

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    1. Mo, Lipo & Niu, Yuguang & Pan, Tingting, 2015. "Consensus of heterogeneous multi-agent systems with switching jointly-connected interconnection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 427(C), pages 132-140.
    2. Wu, Guo-Cheng & Baleanu, Dumitru & Xie, He-Ping & Chen, Fu-Lai, 2016. "Chaos synchronization of fractional chaotic maps based on the stability condition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 460(C), pages 374-383.
    3. Zhang, Lei & Song, Qiankun & Zhao, Zhenjiang, 2017. "Stability analysis of fractional-order complex-valued neural networks with both leakage and discrete delays," Applied Mathematics and Computation, Elsevier, vol. 298(C), pages 296-309.
    4. Hu, Jiangping & Hong, Yiguang, 2007. "Leader-following coordination of multi-agent systems with coupling time delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(2), pages 853-863.
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    Cited by:

    1. Yuan, Xiaolin & Mo, Lipo & Yu, Yongguang, 2019. "Agreement coordination of fractional-order multi-agent systems with reaction–diffusion and persistent disturbances," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 680-693.
    2. Zhang, Xuxi & Liu, Xianping & Lewis, Frank L. & Wang, Xia, 2020. "Bipartite tracking consensus of nonlinear multi-agent systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).

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