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On average consensus in directed networks of agents with switching topology and time delay

Author

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  • Jiahu Qin
  • Huijun Gao
  • Wei Xing Zheng

Abstract

In this article, the average consensus problem in directed networks of agents with both switching topology and coupling delay is investigated. First, based on a specific orthogonal transformation of the Laplacian matrix, an important proposition for verifying the positive definiteness of a class of quadratic forms is provided, which is of independent interest in matrix theory. And the relation between weakly connected and strongly connected digraphs is also investigated. Then, it is proved that all the agents reach the average consensus asymptotically for appropriate time delay if the communication topology keeps weakly connected and balanced. Finally, a numerical example is given to demonstrate the effectiveness and advantage of the new result.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:tsysxx:v:42:y:2011:i:12:p:1947-1956
    DOI: 10.1080/00207721003802271
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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. 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.
    3. Kazunori Sakurama & Kazushi Nakano, 2015. "Necessary and sufficient condition for average consensus of networked multi-agent systems with heterogeneous time delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(5), pages 818-830, April.

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