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Leader-following consensus of multi-agent systems with randomly varying nonlinearities and stochastic disturbances under directed switching topologies

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  • Sui, Xin
  • Yang, Yongqing
  • Zhang, Shuai

Abstract

This paper investigates leader-following consensus problem of multi-agent systems with randomly varying nonlinearities and stochastic disturbances under switching topologies. The randomly varying nonlinearities and stochastic disturbances are introduced to reflect more realistic dynamical behaviors that are caused by the noisy environment. The communication topology is molded by a directed graph will fall into two categories, i.e., one satisfies that contains a spanning tree whereas the other does not. Thus, the communication topology is time-varying. By using tools from M-matrix theory and multiple Lyapunov methods, some sufficient criteria are derived to achieve leader-following consensus. Finally, a numerical example is given to show the effectiveness of the proposed method.

Suggested Citation

  • Sui, Xin & Yang, Yongqing & Zhang, Shuai, 2019. "Leader-following consensus of multi-agent systems with randomly varying nonlinearities and stochastic disturbances under directed switching topologies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 524-534.
    • Handle: RePEc:eee:phsmap:v:525:y:2019:i:c:p:524-534
    DOI: 10.1016/j.physa.2019.03.103
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    References listed on IDEAS

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    1. Yunjian Xu & Shiguo Peng & Aiyin Guo, 2017. "Leader-following consensus of nonlinear multi-agent systems with randomly occurring uncertainties and stochastic disturbances under impulsive control input," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(15), pages 3138-3146, November.
    2. Chen, Xiangyong & Park, Ju H. & Cao, Jinde & Qiu, Jianlong, 2017. "Sliding mode synchronization of multiple chaotic systems with uncertainties and disturbances," Applied Mathematics and Computation, Elsevier, vol. 308(C), pages 161-173.
    3. Wang, Fei & Yang, Yongqing, 2017. "Leader-following exponential consensus of fractional order nonlinear multi-agents system with hybrid time-varying delay: A heterogeneous impulsive method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 482(C), pages 158-172.
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    Cited by:

    1. Zhang, Zhiming & Zheng, Wei & Lam, H.K. & Wen, Shuhuan & Sun, Fuchun & Xie, Ping, 2020. "Stability analysis and output feedback control for stochastic networked systems with multiple communication delays and nonlinearities using fuzzy control technique," Applied Mathematics and Computation, Elsevier, vol. 386(C).

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