Linear Control of Fractional-Order Financial Chaotic Systems with Input Saturation

In this paper, control of fractional-order financial chaotic systems with saturated control input is investigated by means of state-feedback control method. The saturation problem is tackled by using Gronwall-Bellman lemma and a memoryless nonlinearity function. Based on Gronwall inequality and Lapl...

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Bibliographic Details
Published in:Discrete Dynamics in Nature and Society 2014-01, Vol.2014 (2014), p.197-204-216
Main Authors: Luo, Junhai, Li, Guanjun, Liu, Heng
Format: Article
Language:English
Subjects:
Asymptotic properties
Chaos theory
Control systems
Dynamical systems
Economic models
Inequalities
Laplace transformation
Linear control
Macroeconomics
Mathematical research
Nonlinear dynamics
Nonlinear theories
Saturation
Studies
Systems stability
Variables
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Summary:In this paper, control of fractional-order financial chaotic systems with saturated control input is investigated by means of state-feedback control method. The saturation problem is tackled by using Gronwall-Bellman lemma and a memoryless nonlinearity function. Based on Gronwall inequality and Laplace transform technique, two sufficient conditions are achieved for the asymptotical stability of the fractional-order financial chaotic systems with fractional orders 0 < α ≤ 1 and 1 < α < 2, respectively. Finally, simulation studies are carried out to show the effectiveness of the proposed linear control method.
ISSN:1026-0226
1607-887X
DOI:10.1155/2014/802429