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Linear control for synchronization of a fractional-order time-delayed chaotic financial system

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  • Huang, Chengdai
  • Cai, Liming
  • Cao, Jinde

Abstract

This paper explores the problem of synchronization of a time-delay fractional-order chaotic financial system with incommensurate orders. Novel sufficient conditions are acquired to achieve the synchronization for the proposed system by utilizing feedback control strategy and stability theory for fractional-order delayed systems. To protrude the availability of the devised synchronization scheme, simulation examples are ultimately demonstrated.

Suggested Citation

  • Huang, Chengdai & Cai, Liming & Cao, Jinde, 2018. "Linear control for synchronization of a fractional-order time-delayed chaotic financial system," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 326-332.
    • Handle: RePEc:eee:chsofr:v:113:y:2018:i:c:p:326-332
    DOI: 10.1016/j.chaos.2018.05.022
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    References listed on IDEAS

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    1. Tavazoei, Mohammad Saleh & Haeri, Mohammad, 2008. "Synchronization of chaotic fractional-order systems via active sliding mode controller," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(1), pages 57-70.
    2. Huang, Chengdai & Cao, Jinde, 2017. "Active control strategy for synchronization and anti-synchronization of a fractional chaotic financial system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 262-275.
    3. Chen, Wei-Ching, 2008. "Nonlinear dynamics and chaos in a fractional-order financial system," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1305-1314.
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    Cited by:

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    8. Wang, Shaojie & Bekiros, Stelios & Yousefpour, Amin & He, Shaobo & Castillo, Oscar & Jahanshahi, Hadi, 2020. "Synchronization of fractional time-delayed financial system using a novel type-2 fuzzy active control method," Chaos, Solitons & Fractals, Elsevier, vol. 136(C).
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    13. Jian, Jigui & Wu, Kai & Wang, Baoxian, 2020. "Global Mittag-Leffler boundedness and synchronization for fractional-order chaotic systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).

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