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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2014/802429 |
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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 |