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Consensus of second-order delayed nonlinear multi-agent systems via node-based distributed adaptive completely intermittent protocols

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  • Li, Hongjie
  • Zhu, Yinglian
  • jing, Liu
  • ying, Wang

Abstract

The paper discusses second-order consensus problem of nonlinear multi-agent systems with time delay and intermittent communications. Basing on local intermittent information among the agents, an effective control protocol is proposed by node-based distributed adaptive intermittent information, which a time-varying coupling weight to each node in the communication, some novel criteria are derived in matrix inequalities form by resorting to the generalized Halanay inequality. It is proved that second-order consensus can be reached if the measure of communication is larger than a threshold value under the strongly connected and balanced topology. Moreover, consensus problem is also considered for second-order non-delayed nonlinear multi-agent systems. Finally, a simulation example is presented to illustrate the theoretical results.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:326:y:2018:i:c:p:1-15
    DOI: 10.1016/j.amc.2018.01.005
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    References listed on IDEAS

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    Cited by:

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    2. Zhengqing Fu & Lanlan Guo, 2019. "Tikhonov Regularized Variable Projection Algorithms for Separable Nonlinear Least Squares Problems," Complexity, Hindawi, vol. 2019, pages 1-9, November.
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    4. Basheer, Ambreen & Rehan, Muhammad & Tufail, Muhammad & Razaq, Muhammad Ahsan, 2021. "A novel approach for adaptive H∞ leader-following consensus of higher-order locally Lipschitz multi-agent systems," Applied Mathematics and Computation, Elsevier, vol. 395(C).
    5. Yang, Nana & Li, Junmin & Chen, Jiaxi, 2020. "Fully distributed hybrid adaptive learning consensus protocols for a class of non-linearly parameterized multi-agent systems," Applied Mathematics and Computation, Elsevier, vol. 375(C).

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