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Consensus of multi-agent system with distributed control on time scales

Author

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  • Xiao, Qiang
  • Huang, Zhenkun

Abstract

In this paper, we investigate consensus problem of multi-agent system with distributed control on time scales, which simultaneously includes discrete time delays. Due to Lyapunov stability method and theory of calculus on time scales, sufficient conditions are derived for reaching the globally exponential consensus of the considered system. Finally, simulation examples are given to illustrate the effectiveness of our theoretical results.

Suggested Citation

  • Xiao, Qiang & Huang, Zhenkun, 2016. "Consensus of multi-agent system with distributed control on time scales," Applied Mathematics and Computation, Elsevier, vol. 277(C), pages 54-71.
    • Handle: RePEc:eee:apmaco:v:277:y:2016:i:c:p:54-71
    DOI: 10.1016/j.amc.2015.12.028
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    Citations

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    Cited by:

    1. Zhao, Lin & Yu, Jinpeng & Lin, Chong & Yu, Haisheng, 2017. "Distributed adaptive fixed-time consensus tracking for second-order multi-agent systems using modified terminal sliding mode," Applied Mathematics and Computation, Elsevier, vol. 312(C), pages 23-35.
    2. Wang, Lingyu & Huang, Tingwen & Xiao, Qiang, 2018. "Global exponential synchronization of nonautonomous recurrent neural networks with time delays on time scales," Applied Mathematics and Computation, Elsevier, vol. 328(C), pages 263-275.
    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. Zhao, Lin & Jia, Yingmin & Yu, Jinpeng & Du, Junping, 2017. "H∞ sliding mode based scaled consensus control for linear multi-agent systems with disturbances," Applied Mathematics and Computation, Elsevier, vol. 292(C), pages 375-389.
    5. Li, Hongjie & Zhu, Yinglian & jing, Liu & ying, Wang, 2018. "Consensus of second-order delayed nonlinear multi-agent systems via node-based distributed adaptive completely intermittent protocols," Applied Mathematics and Computation, Elsevier, vol. 326(C), pages 1-15.
    6. Mahmoud, Magdi S. & Almutairi, Naif B., 2016. "Feedback fuzzy control for quantized networked systems with random delays," Applied Mathematics and Computation, Elsevier, vol. 290(C), pages 80-97.

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