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Control and synchronization of fractional-order financial system based on linear control. (English) Zbl 1234.34033

Summary: Control and synchronization of financial systems with fractional-order are discussed. Based on the stability theory for fractional-order differential equations, the Routh-Hurwitz stability condition, and by using linear control, simpler controllers are designed to achieve control and synchronization of fractional-order financial systems. The proposed controllers are linear and easy to implement and improve upon existing results. Theoretical analysis and numerical simulations are presented to demonstrate the validity and feasibility of the proposed method.

MSC:

34C60 Qualitative investigation and simulation of ordinary differential equation models
34A08 Fractional ordinary differential equations
34H05 Control problems involving ordinary differential equations
34H10 Chaos control for problems involving ordinary differential equations
34H15 Stabilization of solutions to ordinary differential equations

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