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Consensus of multi-agent linear dynamic systems impulsive control protocols

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  • Haibo Jiang
  • Jianjiang Yu
  • Caigen Zhou

Abstract

In this article, we introduce impulsive control protocols for multi-agent linear dynamic systems. First, an impulsive control protocol is designed for network with fixed topology based on the local information of agents. Then sufficient conditions are given to guarantee the consensus of the multi-agent linear dynamic systems by the theory of impulsive systems. Furthermore, how to select the discrete instants and impulsive matrices is discussed. The case that the topologies of networks are switching is also considered. Numerical simulations show the effectiveness of our theoretical results.

Suggested Citation

  • Haibo Jiang & Jianjiang Yu & Caigen Zhou, 2011. "Consensus of multi-agent linear dynamic systems impulsive control protocols," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(6), pages 967-976.
  • Handle: RePEc:taf:tsysxx:v:42:y:2011:i:6:p:967-976
    DOI: 10.1080/00207720903267866
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    Cited by:

    1. Yunpeng Wang & Long Cheng & Zeng-Guang Hou & Min Tan & Chao Zhou & Ming Wang, 2015. "Consensus seeking in a network of discrete-time linear agents with communication noises," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(10), pages 1874-1888, July.
    2. Yulian Jiang & Jianchang Liu & Shubin Tan & Pingsong Ming, 2014. "Robust consensus algorithm for multi-agent systems with exogenous disturbances under convergence conditions," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(9), pages 1869-1879, September.
    3. Fenglan Sun & Xiaogang Liao & Yongfu Li & Feng Liu, 2019. "Consensus for Mixed-Order Multiagent Systems over Jointly Connected Topologies via Impulse Control," Complexity, Hindawi, vol. 2019, pages 1-7, January.
    4. Chunnan Lin & Quanjun Wu & Lan Xiang & Jin Zhou, 2015. "Pinning impulsive directed coupled delayed dynamical network and its applications," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(2), pages 193-208, January.
    5. Guoguang Wen & Zhaoxia Peng & Ahmed Rahmani & Yongguang Yu, 2014. "Distributed leader-following consensus for second-order multi-agent systems with nonlinear inherent dynamics," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(9), pages 1892-1901, September.

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