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Consensus analysis of switching multi-agent systems with fixed topology and time-delay

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  • Pei, Yongquan
  • Sun, Jitao

Abstract

This paper investigates the average consensus problems of the discrete-time Markov switching linear multi-agent systems (LMAS) with fixed topology and time-delay. Firstly, we introduce a concept of the average consensus to adapt the stochastic systems. Secondly, a time-delay switching consensus protocol is proposed. By developing a new signal mode, the switching signal of the systems and the time-delay signal of the controller can be merged into one signal. Thirdly, by Lyapunov technique, two LMIs criteria of average consensus are provided, and they reveal that the consensus of the multi-agent systems relates to the spectral radius of the Laplacian matrix. Furthermore, by our results and CCL-type algorithms, we can get the gain matrices. Finally, a numerical example is given to illustrate the efficiency of our results.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:463:y:2016:i:c:p:437-444
    DOI: 10.1016/j.physa.2016.07.039
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    References listed on IDEAS

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    1. 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.
    2. Wu, Zhihai & Peng, Li & Xie, Linbo & Wen, Jiwei, 2013. "Stochastic bounded consensus tracking of leader–follower multi-agent systems with measurement noises based on sampled-data with small sampling delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 918-928.
    3. 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.
    4. 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.
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