Title
Robust Adaptive Control For Fractional-Order Financial Chaotic Systems With System Uncertainties And External Disturbances
Abstract
In this paper, robust adaptive control for uncertain fractional-order financial chaotic systems with bounded unknown external disturbances is studied. By utilizing the fractional-order extension of the classical Lyapunov stability methods, an adaptive controller is presented for controlling the fractional-order financial chaotic system. Quadratic Lyapunov functions are 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 results.
Year
DOI
Venue
2017
10.5755/j01.itc.46.2.13972
INFORMATION TECHNOLOGY AND CONTROL
Keywords
Field
DocType
Robust control, fractional-order financial system, fractional-order chaotic system, fractional-order adaptation law
Mathematical optimization,Control theory,Computer science,Control theory,Lyapunov stability,Chaotic systems,Adaptive control,Quadratic lyapunov function,Chaotic,Finance,Robust control,Bounded function
Journal
Volume
Issue
ISSN
46
2
1392-124X
Citations 
PageRank 
References 
1
0.35
0
Authors
4
Name
Order
Citations
PageRank
Heng Liu115327.10
Sheng-Gang Li221329.14
Guanjun Li3382.74
Hongxing Wang4201.33