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Admissible L2 consensus for singular time-delayed swarm systems with external disturbances

Author

Listed:
  • Xi, Jianxiang
  • Yao, Zhicheng
  • Wang, Zhong
  • Liu, Guangbin
  • Zhong, Yisheng

Abstract

Admissible consensus analysis and design problems for high-order linear time-invariant singular swarm systems with time delays and external disturbances are investigated. Firstly, by the state space decomposition, a necessary and sufficient condition for admissible consensus is given and an approach is presented to determine consensus functions on the basis of different impacts of initial states of agents and external disturbances, which describe the absolute motions of singular swarm systems as a whole. Then, an L2 evaluation approach which requires fewer limitations on the structures of consensus functions is proposed to determine the influences of external disturbances on relative motions among agents, and linear matrix inequality criteria for admissible L2 consensus and consensualization are shown. Finally, numerical simulations are presented to demonstrate theoretical results.

Suggested Citation

  • Xi, Jianxiang & Yao, Zhicheng & Wang, Zhong & Liu, Guangbin & Zhong, Yisheng, 2014. "Admissible L2 consensus for singular time-delayed swarm systems with external disturbances," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 403(C), pages 165-176.
    • Handle: RePEc:eee:phsmap:v:403:y:2014:i:c:p:165-176
    DOI: 10.1016/j.physa.2014.02.048
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    References listed on IDEAS

    as
    1. Xi, Jianxiang & Cai, Ning & Zhong, Yisheng, 2010. "Consensus problems for high-order linear time-invariant swarm systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(24), pages 5619-5627.
    2. Xi, Jianxiang & Shi, Zongying & Zhong, Yisheng, 2011. "Consensus analysis and design for high-order linear swarm systems with time-varying delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4114-4123.
    3. 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.
    4. Czirók, András & Vicsek, Tamás, 2000. "Collective behavior of interacting self-propelled particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 281(1), pages 17-29.
    5. Xi, Jianxiang & Shi, Zongying & Zhong, Yisheng, 2012. "Admissible consensus and consensualization of high-order linear time-invariant singular swarm systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(23), pages 5839-5849.
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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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    More about this item

    Keywords

    Singular swarm system; Admissible L2 consensus; Consensus function; Time delay; External disturbance;
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    JEL classification:

    • L2 - Industrial Organization - - Firm Objectives, Organization, and Behavior

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