Robust Exponential Synchronization of a Class of Chaotic Systems with Variable Convergence Rates via the Saturation Control
This article is concerned with the exponential synchronization of a class of the chaotic systems with external disturbance via the saturation control. Through appropriate coordinate transformation, the exponential synchronization is translated into the asymptotic stability of the error system. By us...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/8293190 |
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| _version_ | 1832566042248871936 |
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| author | Meichun Huang Runzi Luo Jiaojiao Fu Haipeng Su |
| author_facet | Meichun Huang Runzi Luo Jiaojiao Fu Haipeng Su |
| author_sort | Meichun Huang |
| collection | DOAJ |
| description | This article is concerned with the exponential synchronization of a class of the chaotic systems with external disturbance via the saturation control. Through appropriate coordinate transformation, the exponential synchronization is translated into the asymptotic stability of the error system. By using the Lyapunov stability theory, a novel sufficient condition which possesses the exponential convergence rate λ is presented. The rich choices of the exponential convergence rate λ turn our scheme more general than some existing approaches. Numerical simulations are employed to the Genesio chaotic system and the Coullet chaotic system to illustrate the ability and effectiveness of the presented approach. |
| format | Article |
| id | doaj-art-09a13be31eab4f8ba881e292a06f6693 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-09a13be31eab4f8ba881e292a06f66932025-02-03T01:05:10ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/82931908293190Robust Exponential Synchronization of a Class of Chaotic Systems with Variable Convergence Rates via the Saturation ControlMeichun Huang0Runzi Luo1Jiaojiao Fu2Haipeng Su3Department of Mathematics, Nanchang University, Nanchang 330031, ChinaDepartment of Mathematics, Nanchang University, Nanchang 330031, ChinaDepartment of Mathematics, Nanchang University, Nanchang 330031, ChinaDepartment of Mathematics, Nanchang University, Nanchang 330031, ChinaThis article is concerned with the exponential synchronization of a class of the chaotic systems with external disturbance via the saturation control. Through appropriate coordinate transformation, the exponential synchronization is translated into the asymptotic stability of the error system. By using the Lyapunov stability theory, a novel sufficient condition which possesses the exponential convergence rate λ is presented. The rich choices of the exponential convergence rate λ turn our scheme more general than some existing approaches. Numerical simulations are employed to the Genesio chaotic system and the Coullet chaotic system to illustrate the ability and effectiveness of the presented approach.http://dx.doi.org/10.1155/2020/8293190 |
| spellingShingle | Meichun Huang Runzi Luo Jiaojiao Fu Haipeng Su Robust Exponential Synchronization of a Class of Chaotic Systems with Variable Convergence Rates via the Saturation Control Complexity |
| title | Robust Exponential Synchronization of a Class of Chaotic Systems with Variable Convergence Rates via the Saturation Control |
| title_full | Robust Exponential Synchronization of a Class of Chaotic Systems with Variable Convergence Rates via the Saturation Control |
| title_fullStr | Robust Exponential Synchronization of a Class of Chaotic Systems with Variable Convergence Rates via the Saturation Control |
| title_full_unstemmed | Robust Exponential Synchronization of a Class of Chaotic Systems with Variable Convergence Rates via the Saturation Control |
| title_short | Robust Exponential Synchronization of a Class of Chaotic Systems with Variable Convergence Rates via the Saturation Control |
| title_sort | robust exponential synchronization of a class of chaotic systems with variable convergence rates via the saturation control |
| url | http://dx.doi.org/10.1155/2020/8293190 |
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