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Leader-following exponential consensus of fractional order nonlinear multi-agents system with hybrid time-varying delay: A heterogeneous impulsive method

Author

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  • Wang, Fei
  • Yang, Yongqing

Abstract

In this paper, we study the leader-following exponential consensus of multi-agent system. Each agent in the system is described by nonlinear fractional order differential equation. Both the internal delay and coupling delay are taken into consideration. The heterogeneous impulsive control is used for ensuring the consensus of all agents. Based on Lyapunov function method and matrix analysis, some sufficient conditions for exponential consensus are obtained. Finally, some illustrative examples are given to show the effectiveness of the obtained results.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:482:y:2017:i:c:p:158-172
    DOI: 10.1016/j.physa.2017.04.049
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    Cited by:

    1. 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.
    2. Zhang, Lingzhong & Yang, Yongqing & Xu, Xianyun, 2018. "Synchronization analysis for fractional order memristive Cohen–Grossberg neural networks with state feedback and impulsive control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 644-660.
    3. Yuan, Xiaolin & Mo, Lipo & Yu, Yongguang, 2019. "Agreement coordination of fractional-order multi-agent systems with reaction–diffusion and persistent disturbances," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 680-693.

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