Robust Adaptive Control for Fractional-order Financial Chaotic Systems with System Uncertainties and External Disturbances
In this paper, robust adaptive control for uncertain fractional-order financial chaotic systems with bounded unknown external disturbance is studied. By utilizing the fractional-order extension of the classical Lyapunov stability methods, an adaptive controller is presented for controlling fractional-order financial chaotic system. Quadratic Lyapunov function is employed in the stability analysis, and fractional-order adaptation laws are designed to update controller parameters online.
The proposed controller can ensure that the system states converge to the origin asymptotically and all signals in the closed-loop system remain bounded. Finally, simulation results are presented to confirm our theoretical