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Fixed-/Preassigned-time synchronization of differential-dimensional chaotic systems with stochastic disturbances

Author

Listed:
  • Wang, Leimin
  • Zhou, Zheng
  • Jiang, Guanghui
  • Wang, Qingyi
  • Wei, Zhouchao

Abstract

This paper aims to investigate the fixed-time synchronization (FxTS) and preassigned-time synchronization (PTS) of differential-dimensional chaotic systems (DDCS) with stochastic disturbances. Firstly, the FxTS of DDCS with stochastic disturbances is analyzed, and sufficient conditions for achieving FxTS are established, ensuring a less conservative settling time that is independent of the system’s initial states. By tuning the control gains of the FxTS controller, synchronization of DDCS is achieved within a preassigned time. Additionally, the effects of uncertain parameters in DDCS are considered, and both FxTS and PTS are examined by designing an adaptive controller to address stochastic disturbances. Finally, by employing the chaotic financial systems, a series of computational tests are conducted to authenticate the main results.

Suggested Citation

  • Wang, Leimin & Zhou, Zheng & Jiang, Guanghui & Wang, Qingyi & Wei, Zhouchao, 2026. "Fixed-/Preassigned-time synchronization of differential-dimensional chaotic systems with stochastic disturbances," Applied Mathematics and Computation, Elsevier, vol. 519(C).
    • Handle: RePEc:eee:apmaco:v:519:y:2026:i:c:s0096300325006447
    DOI: 10.1016/j.amc.2025.129919
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    References listed on IDEAS

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