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Predefined-time synchronization of chaotic systems with different dimensions and applications

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  • Assali, El Abed

Abstract

This paper aims to investigate the predefined-time synchronization analysis for two chaotic systems with different dimensions. Firstly, based on the definition of predefined-time stability, we propose a new control protocol that can realize the synchronization of two chaotic systems with different dimensions in predefined-time. Secondly, by using adaptive control the predefined-time synchronization analysis of two different dimensional chaotic systems in the presence of parameter uncertainties is also taken into account. Our results improve and extend some recent works. Finally, the efficacy of the obtained results is proven by numerical simulations.

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  • Assali, El Abed, 2021. "Predefined-time synchronization of chaotic systems with different dimensions and applications," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    • Handle: RePEc:eee:chsofr:v:147:y:2021:i:c:s0960077921003428
    DOI: 10.1016/j.chaos.2021.110988
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    References listed on IDEAS

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    Cited by:

    1. Zhang, Guodong & Cao, Jinde, 2023. "New results on fixed/predefined-time synchronization of delayed fuzzy inertial discontinuous neural networks: Non-reduced order approach," Applied Mathematics and Computation, Elsevier, vol. 440(C).
    2. Lin, Shanrong & Liu, Xiwei, 2023. "Synchronization and control for directly coupled reaction–diffusion neural networks with multiweights and hybrid coupling," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    3. Sahoo, Shilalipi & Nathasarma, Rahash & Roy, Binoy Krishna, 2024. "Time-synchronized predefined-time synchronization between two non-identical chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    4. Bekiros, Stelios & Yao, Qijia & Mou, Jun & Alkhateeb, Abdulhameed F. & Jahanshahi, Hadi, 2023. "Adaptive fixed-time robust control for function projective synchronization of hyperchaotic economic systems with external perturbations," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    5. Li, Xinna & Wu, Huaiqin & Cao, Jinde, 2023. "Prescribed-time synchronization in networks of piecewise smooth systems via a nonlinear dynamic event-triggered control strategy," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 647-668.
    6. Martínez-Fuentes, Oscar & Díaz-Muñoz, Jonathan Daniel & Muñoz-Vázquez, Aldo Jonathan & Tlelo-Cuautle, Esteban & Fernández-Anaya, Guillermo & Cruz-Vega, Israel, 2024. "Family of controllers for predefined-time synchronization of Lorenz-type systems and the Raspberry Pi-based implementation," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    7. Abudusaimaiti, Mairemunisa & Abdurahman, Abdujelil & Jiang, Haijun & Hu, Cheng, 2022. "Fixed/predefined-time synchronization of fuzzy neural networks with stochastic perturbations," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    8. Xue, Haibo & Liu, Xinghua, 2023. "A novel fast terminal sliding mode with predefined-time synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).
    9. Zhang, Mengjiao & Zang, Hongyan & Bai, Luyuan, 2022. "A new predefined-time sliding mode control scheme for synchronizing chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).

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