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

Junhai Luo | Zendy; Guanjun Li | Zendy; Heng Liu | Zendy

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

Author(s) -

Junhai Luo,

Guanjun Li,

Heng Liu

Publication year - 2014

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2014/802429

Subject(s) - gronwall's inequality , laplace transform , mathematics , control theory (sociology) , lemma (botany) , chaotic , nonlinear system , chaotic systems , order (exchange) , stability (learning theory) , control (management) , computer science , finance , mathematical analysis , inequality , ecology , physics , poaceae , quantum mechanics , artificial intelligence , machine learning , economics , biology

In this paper, control of fractional-order financial chaotic systems with saturated control input isinvestigated by means of state-feedback control method. The saturation problem is tackled by usingGronwall-Bellman lemma and a memoryless nonlinearity function. Based on Gronwall inequality andLaplace transform technique, two sufficient conditions are achieved for the asymptotical stability of thefractional-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 controlmethod

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