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Mean square average-consensus for multi-agent systems with measurement noise and time delay

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  • Fenglan Sun
  • Zhi-Hong Guan
  • Li Ding
  • Yan-Wu Wang

Abstract

Mean square average consensus for multi-agent systems with measurement noise and time delay under fixed digraph is studied in this article. The time-varying consensus-gain is introduced to attenuate the measurement noise. By combining the tools of algebraic graph theory, matrix theory and stochastic analysis, consensus protocols for multi-agent systems with measurement noise and time delay are elaborately analysed. The example and simulation results are given to illustrate the effectiveness of the obtained theoretical results. Moreover, the simulations demonstrate that, the proper consensus-gain function in the consensus protocol is the necessary and sufficient condition for the convergence of the multi-agent systems.

Suggested Citation

  • Fenglan Sun & Zhi-Hong Guan & Li Ding & Yan-Wu Wang, 2013. "Mean square average-consensus for multi-agent systems with measurement noise and time delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(6), pages 995-1005.
    • Handle: RePEc:taf:tsysxx:v:44:y:2013:i:6:p:995-1005
    DOI: 10.1080/00207721.2011.652221
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    Cited by:

    1. Bin Hu & Zhi-Hong Guan & Rui-Quan Liao & Ding-Xue Zhang & Gui-Lin Zheng, 2015. "Consensus-based distributed optimisation of multi-agent networks via a two level subgradient-proximal algorithm," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(7), pages 1307-1318, May.
    2. Sabir Djaidja & Qinghe Wu, 2015. "Leader-following consensus for single-integrator multi-agent systems with multiplicative noises in directed topologies," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(15), pages 2788-2798, November.
    3. Lei Liu & Jinjun Shan, 2017. "robust synchronisation of nonlinear multi-agent systems with sampled-data information," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(1), pages 138-149, January.
    4. Sun, Fenglan & Wang, Rui & Zhu, Wei & Li, Yongfu, 2019. "Flocking in nonlinear multi-agent systems with time-varying delay via event-triggered control," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 66-77.
    5. Hongwen Ma & Derong Liu & Ding Wang & Biao Luo, 2016. "Bipartite output consensus in networked multi-agent systems of high-order power integrators with signed digraph and input noises," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(13), pages 3116-3131, October.
    6. Yilun Shang, 2015. "Group consensus of multi-agent systems in directed networks with noises and time delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(14), pages 2481-2492, October.

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