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Consensus with guaranteed convergence rate of high-order integrator agents in the presence of time-varying delays

Author

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  • H.J. Savino
  • F.O. Souza
  • L.C.A. Pimenta

Abstract

This paper aims to study the consensus problem in directed networks of agents with high-order integrator dynamics and fixed topology. It is considered the existence of non-uniform time-varying delays in the agents control laws for each interaction between agents and their neighbours. Based on Lyapunov–Krasovskii stability theory and algebraic graph theory, sufficient conditions, in terms of linear matrix inequalities, are given to verify if consensus is achieved with guaranteed exponential convergence rate. The efficiency of the proposed method is verified by numerical simulations. The simulations reveal that the conditions established in this work outperformed the similar existing ones in all numerical tests accomplished in this paper.

Suggested Citation

  • H.J. Savino & F.O. Souza & L.C.A. Pimenta, 2016. "Consensus with guaranteed convergence rate of high-order integrator agents in the presence of time-varying delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(10), pages 2475-2486, July.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:10:p:2475-2486
    DOI: 10.1080/00207721.2014.998750
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    References listed on IDEAS

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    1. Yanping Gao & Min Zuo & Tongqiang Jiang & Junping Du & Jingwei Ma, 2013. "Asynchronous consensus of multiple second-order agents with partial state information," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(5), pages 966-977.
    2. Editors, 2014. "International Journal of Systems Science," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(12), pages 1-1, December.
    3. Fenglan Sun & Zhi-Hong Guan, 2013. "Finite-time consensus for leader-following second-order multi-agent system," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(4), pages 727-738.
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    Cited by:

    1. Wang, Zhenhua, 2022. "Consensus of continuous-time agent dynamics with unknown input and communication delays," Applied Mathematics and Computation, Elsevier, vol. 412(C).

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