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Couple-group consensus for second-order multi-agent systems with fixed and stochastic switching topologies

Author

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  • Zhao, Huanyu
  • Park, Ju H.
  • Zhang, Yulin

Abstract

This paper deals with the couple-group consensus problem for second-order discrete-time multi-agent systems. Both the fixed topology case and the stochastic switching topology case are considered. The couple-group consensus problem is converted into the stability problem of the error system by a linear transformation. For the fixed topology case, we obtain two different conditions of couple-group consensus. For the stochastic switching topology case, we obtain a necessary and sufficient condition of mean-square couple-group consensus. Algorithms are provided to design the allowable control gains. Finally, simulation examples are given to show the usefulness of the theoretical results.

Suggested Citation

  • Zhao, Huanyu & Park, Ju H. & Zhang, Yulin, 2014. "Couple-group consensus for second-order multi-agent systems with fixed and stochastic switching topologies," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 595-605.
    • Handle: RePEc:eee:apmaco:v:232:y:2014:i:c:p:595-605
    DOI: 10.1016/j.amc.2014.01.018
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    References listed on IDEAS

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    1. Jiahu Qin & Huijun Gao & Wei Xing Zheng, 2011. "On average consensus in directed networks of agents with switching topology and time delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(12), pages 1947-1956.
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    Cited by:

    1. Guo, Xiyue & Liang, Hongjing & Pan, Yingnan, 2020. "Observer-Based Adaptive Fuzzy Tracking Control for Stochastic Nonlinear Multi-Agent Systems with Dead-Zone Input," Applied Mathematics and Computation, Elsevier, vol. 379(C).
    2. Li, Bing, 2017. "A note on stability of hybrid stochastic differential equations," Applied Mathematics and Computation, Elsevier, vol. 299(C), pages 45-57.
    3. Ma, Qian, 2017. "Cooperative control of multi-agent systems with unknown control directions," Applied Mathematics and Computation, Elsevier, vol. 292(C), pages 240-252.
    4. Shi, Chong-Xiao & Yang, Guang-Hong, 2018. "Robust consensus control for a class of multi-agent systems via distributed PID algorithm and weighted edge dynamics," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 73-88.
    5. Shen, Mouquan & Ye, Dan, 2017. "A finite frequency approach to control of Markov jump linear systems with incomplete transition probabilities," Applied Mathematics and Computation, Elsevier, vol. 295(C), pages 53-64.
    6. Shao, Jinliang & Shi, Lei & Cao, Mengtao & Xia, Hong, 2018. "Distributed containment control for asynchronous discrete-time second-order multi-agent systems with switching topologies," Applied Mathematics and Computation, Elsevier, vol. 336(C), pages 47-59.
    7. 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.
    8. Zhou, Jianping & Sang, Chengyan & Li, Xiao & Fang, Muyun & Wang, Zhen, 2018. "H∞ consensus for nonlinear stochastic multi-agent systems with time delay," Applied Mathematics and Computation, Elsevier, vol. 325(C), pages 41-58.

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