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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| _version_ | 1832567017077473280 |
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| author | Junhai Luo Guanjun Li Heng Liu |
| author_facet | Junhai Luo Guanjun Li Heng Liu |
| author_sort | Junhai Luo |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-ff71d4f8090043e09f0043c52635206a |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-ff71d4f8090043e09f0043c52635206a2025-02-03T01:02:33ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/802429802429Linear Control of Fractional-Order Financial Chaotic Systems with Input SaturationJunhai Luo0Guanjun Li1Heng Liu2School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 611731, ChinaDepartment of Mathematics and Computational Sciences, Huainan Normal University, Huainan 232038, ChinaDepartment of Mathematics and Computational Sciences, Huainan Normal University, Huainan 232038, ChinaIn 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.http://dx.doi.org/10.1155/2014/802429 |
| spellingShingle | Junhai Luo Guanjun Li Heng Liu Linear Control of Fractional-Order Financial Chaotic Systems with Input Saturation Discrete Dynamics in Nature and Society |
| title | Linear Control of Fractional-Order Financial Chaotic Systems with Input Saturation |
| title_full | Linear Control of Fractional-Order Financial Chaotic Systems with Input Saturation |
| title_fullStr | Linear Control of Fractional-Order Financial Chaotic Systems with Input Saturation |
| title_full_unstemmed | Linear Control of Fractional-Order Financial Chaotic Systems with Input Saturation |
| title_short | Linear Control of Fractional-Order Financial Chaotic Systems with Input Saturation |
| title_sort | linear control of fractional order financial chaotic systems with input saturation |
| url | http://dx.doi.org/10.1155/2014/802429 |
| work_keys_str_mv | AT junhailuo linearcontroloffractionalorderfinancialchaoticsystemswithinputsaturation AT guanjunli linearcontroloffractionalorderfinancialchaoticsystemswithinputsaturation AT hengliu linearcontroloffractionalorderfinancialchaoticsystemswithinputsaturation |