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A Type-3 Fuzzy Approach for Stabilization and Synchronization of Chaotic Systems: Applicable for Financial and Physical Chaotic Systems

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  • Man-Wen Tian
  • Yassine Bouteraa
  • Khalid A. Alattas
  • Shu-Rong Yan
  • Abdullah K. Alanazi
  • Ardashir Mohammadzadeh
  • Saleh Mobayen
  • Hiroki Sayama

Abstract

In this paper, a new approach is presented for stabilizing and synchronizing financial chaotic systems. A new type-3 (T3) fuzzy-based system (FLS) with an online optimization scheme is designed to cope with chaotic behavior, high-level uncertainties, and unknown dynamics. An adaptive compensator also eliminates the effect of approximation errors (AEs) and perturbations. The stability of the dynamics of synchronization errors is guaranteed by the use of the Lyapunov method. Several simulations and comparisons demonstrate the superiority of the suggested control and synchronization scenarios.

Suggested Citation

  • Man-Wen Tian & Yassine Bouteraa & Khalid A. Alattas & Shu-Rong Yan & Abdullah K. Alanazi & Ardashir Mohammadzadeh & Saleh Mobayen & Hiroki Sayama, 2022. "A Type-3 Fuzzy Approach for Stabilization and Synchronization of Chaotic Systems: Applicable for Financial and Physical Chaotic Systems," Complexity, Hindawi, vol. 2022, pages 1-17, June.
    • Handle: RePEc:hin:complx:8437910
    DOI: 10.1155/2022/8437910
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    Cited by:

    1. Gerardo Armando Hernández Castorena & Gerardo Maximiliano Méndez & Ismael López-Juárez & María Aracelia Alcorta García & Dulce Citlalli Martinez-Peon & Pascual Noradino Montes-Dorantes, 2024. "Parameter Prediction with Novel Enhanced Wagner Hagras Interval Type-3 Takagi–Sugeno–Kang Fuzzy System with Type-1 Non-Singleton Inputs," Mathematics, MDPI, vol. 12(13), pages 1-40, June.
    2. Johansyah, Muhamad Deni & Sambas, Aceng & Zheng, Song & Benkouider, Khaled & Vaidyanathan, Sundarapandian & Mohamed, Mohamad Afendee & Mamat, Mustafa, 2023. "A novel financial system with one stable and two unstable equilibrium points: Dynamics, coexisting attractors, complexity analysis and synchronization using integral sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).

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