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Control and Synchronization of Fractional-Order Financial System Based on Linear Control

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  • Liping Chen
  • Yi Chai
  • Ranchao Wu

Abstract

Control and synchronization of the financial systems with fractional-order are discussed in this paper. Based on the stability theory of fractional-order differential equations, Routh-Hurwitz stability condition, and by using linear control, simpler controllers are designed to achieve control and synchronization of the fractional-order financial systems. The proposed controllers are linear and easy to implement, which have improved the existing results. Theoretical analysis and numerical simulations are shown to demonstrate the validity and feasibility of the proposed method.

Suggested Citation

  • Liping Chen & Yi Chai & Ranchao Wu, 2011. "Control and Synchronization of Fractional-Order Financial System Based on Linear Control," Discrete Dynamics in Nature and Society, Hindawi, vol. 2011, pages 1-21, August.
  • Handle: RePEc:hin:jnddns:958393
    DOI: 10.1155/2011/958393
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    Cited by:

    1. Gong, Xiao-Li & Liu, Xi-Hua & Xiong, Xiong, 2019. "Chaotic analysis and adaptive synchronization for a class of fractional order financial system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 522(C), pages 33-42.
    2. Vasily E. Tarasov, 2019. "On History of Mathematical Economics: Application of Fractional Calculus," Mathematics, MDPI, vol. 7(6), pages 1-28, June.

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