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Uniqueness of consensus functions for time-delayed swarm systems with time-varying topologies

Author

Listed:
  • Wu, Jinying
  • Xi, Jianxiang
  • Yang, Xiaogang
  • Liu, Guangbin

Abstract

This paper shows that consensus functions for high-order linear swarm systems with time-varying interaction topologies and time delays are uniquely determined by initial states if interaction topologies are balanced. In addition, an explicit expression of the consensus function is presented, and the different influences of initial states of agents and protocols on the consensus function are determined respectively.

Suggested Citation

  • Wu, Jinying & Xi, Jianxiang & Yang, Xiaogang & Liu, Guangbin, 2015. "Uniqueness of consensus functions for time-delayed swarm systems with time-varying topologies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 781-787.
    • Handle: RePEc:eee:phsmap:v:436:y:2015:i:c:p:781-787
    DOI: 10.1016/j.physa.2015.05.061
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    References listed on IDEAS

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    1. Peng, Ke & Yang, Yupu, 2009. "Leader-following consensus problem with a varying-velocity leader and time-varying delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(2), pages 193-208.
    2. Lin, Peng & Jia, Yingmin, 2008. "Average consensus in networks of multi-agents with both switching topology and coupling time-delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(1), pages 303-313.
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    Cited by:

    1. Pei, Yongquan & Sun, Jitao, 2016. "Consensus analysis of switching multi-agent systems with fixed topology and time-delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 463(C), pages 437-444.

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