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Second-order controllability of two-time-scale multi-agent systems

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  • Long, Mingkang
  • Su, Housheng
  • Liu, Bo

Abstract

This paper addresses the controllability for an interconnected two-time-scale second-order multi-agent system. Firstly, to eliminate the singular perturbation parameter, we separate the multi-agent system into slow subsystem and fast subsystem by using singular perturbation methods. Then, based on matrix theory, some necessary and/or sufficient criteria are derived for second-order controllability of two-time-scale multi-agent systems with multiple leaders. Moreover, we propose some easy-to-use second-order controllability criteria determined only by eigenvalues of system matrices. Lastly, the effectiveness of the proposed theoretical results is illustrated by a simulation example.

Suggested Citation

  • Long, Mingkang & Su, Housheng & Liu, Bo, 2019. "Second-order controllability of two-time-scale multi-agent systems," Applied Mathematics and Computation, Elsevier, vol. 343(C), pages 299-313.
    • Handle: RePEc:eee:apmaco:v:343:y:2019:i:c:p:299-313
    DOI: 10.1016/j.amc.2018.09.033
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    References listed on IDEAS

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    1. Liu, Bin & Hill, David J. & Sun, Zhijie, 2018. "Input-to-state-KL-stability and criteria for a class of hybrid dynamical systems," Applied Mathematics and Computation, Elsevier, vol. 326(C), pages 124-140.
    2. He, Xiaoyan & Wang, Qingyun, 2017. "Distributed finite-time leaderless consensus control for double-integrator multi-agent systems with external disturbances," Applied Mathematics and Computation, Elsevier, vol. 295(C), pages 65-76.
    3. Yu, Zhiyong & Jiang, Haijun & Mei, Xuehui & Hu, Cheng, 2018. "Guaranteed cost consensus for second-order multi-agent systems with heterogeneous inertias," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 739-757.
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    Cited by:

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    2. Wang, Xiaoling & Su, Housheng, 2020. "Completely model-free RL-based consensus of continuous-time multi-agent systems," Applied Mathematics and Computation, Elsevier, vol. 382(C).
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    4. Mengqi Gu & Guo-Ping Jiang, 2023. "Observability of Discrete-Time Two-Time-Scale Multi-Agent Systems with Heterogeneous Features under Leader-Based Architecture," Mathematics, MDPI, vol. 11(8), pages 1-23, April.
    5. Liu, Bo & Su, Housheng & Wu, Licheng & Shen, Xixi, 2021. "Controllability for multi-agent systems with matrix-weight-based signed network," Applied Mathematics and Computation, Elsevier, vol. 411(C).
    6. Liu, Yifan & Su, Housheng, 2019. "Containment control of second-order multi-agent systems via intermittent sampled position data communication," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    7. Xingcheng Pu & Chaowen Xiong & Lianghao Ji & Longlong Zhao, 2019. "Weighted Couple-Group Consensus Analysis of Heterogeneous Multiagent Systems with Cooperative-Competitive Interactions and Time Delays," Complexity, Hindawi, vol. 2019, pages 1-13, March.

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