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Average consensus in networks of multi-agents with both switching topology and coupling time-delay

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  • Lin, Peng
  • Jia, Yingmin

Abstract

This paper is devoted to the study of the average-consensus problem in directed networks of agents with both switching topology and time-delay. The stability analysis is performed based on a proposed Lyapunov–Krasovskii function. Sufficient conditions in terms of linear matrix inequalities (LMIs) are given to guarantee the average consensus under arbitrary switching of the network topology even if the time-delay is time-varying. Numerical simulations show the effectiveness of our theoretical results.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:1:p:303-313
    DOI: 10.1016/j.physa.2007.08.040
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    Citations

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    Cited by:

    1. Lu, Jianquan & Guo, Xing & Huang, Tingwen & Wang, Zhen, 2019. "Consensus of signed networked multi-agent systems with nonlinear coupling and communication delays," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 153-162.
    2. 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.
    3. 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.
    4. 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.
    5. Zhang, Xuxi & Liu, Xianping & Lewis, Frank L. & Wang, Xia, 2020. "Bipartite tracking consensus of nonlinear multi-agent systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    6. 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.
    7. Hong Xia & Ting-Zhu Huang & Jin-Liang Shao & Jun-Yan Yu, 2014. "Group Consensus with a Dynamic Leader for Multiagent Systems via Sampled-Data Control," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-9, July.
    8. Ning, Bo & Ren, Quansheng & Zhao, Jianye, 2012. "Enhancing consensus in weighted networks with coupling time-delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(11), pages 3061-3068.
    9. 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.
    10. Martín-Hernández, J. & Wang, H. & Van Mieghem, P. & D’Agostino, G., 2014. "Algebraic connectivity of interdependent networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 404(C), pages 92-105.
    11. 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.
    12. Leng, Jun-qiang & Zhai, Jing & Li, Qian-wen & Zhao, Lin, 2018. "Construction of road network vulnerability evaluation index based on general travel cost," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 493(C), pages 421-429.
    13. Zhai, Shidong & Huang, Tao & Luo, Guoqiang & Wang, Xin & Ma, Jun, 2022. "Pinning bipartite synchronization for coupled nonlinear systems with antagonistic interactions and time delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 593(C).
    14. Mo, Lipo & Niu, Yuguang & Pan, Tingting, 2015. "Consensus of heterogeneous multi-agent systems with switching jointly-connected interconnection," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 427(C), pages 132-140.

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