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Fixed-time continuous stochastic synchronisation of two-layer dynamical networks

Author

Listed:
  • Fei Tan
  • Lili Zhou
  • Fei Yu
  • Junwei Lu

Abstract

This paper sheds light on the problem of fixed-time continuous stochastic outer synchronisation for two-layer networks with different topologies, which can be undirected or directed. With the Lyapunov stability theory, several sufficient conditions are obtained. To guarantee the fixed-time continuous stochastic synchronisation of two-layer dynamic networks, the continuous chattering-free feedback controllers are designed. Finally, simulation examples are provided to illustrate the effectiveness of our results.

Suggested Citation

  • Fei Tan & Lili Zhou & Fei Yu & Junwei Lu, 2020. "Fixed-time continuous stochastic synchronisation of two-layer dynamical networks," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(2), pages 242-257, January.
    • Handle: RePEc:taf:tsysxx:v:51:y:2020:i:2:p:242-257
    DOI: 10.1080/00207721.2019.1703057
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    Cited by:

    1. Sun, Ruyi & Chang, Jiaqi & Wang, Hongmei & Li, Miaomiao & Sun, Yongzheng, 2024. "Time and energy costs for synchronization of multi-layer networks," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 215(C), pages 440-455.

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