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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Published inDiscrete Dynamics in Nature and Society Vol. 2014; no. 2014; pp. 197 - 204-216
Main Authors Luo, Junhai, Li, Guanjun, Liu, Heng
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Limiteds 01.01.2014
Hindawi Puplishing Corporation
Hindawi Publishing Corporation
Hindawi Limited
Wiley
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.
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ISSN:1026-0226
1607-887X
DOI:10.1155/2014/802429