Stabilization of a Class of Complex Chaotic Systems by the Dynamic Feedback Control
The stabilization problem of the complex chaotic system is investigated in this paper. First, a systematic method is proposed, by which a given complex chaotic system can be transformed into its equivalent real chaotic system. Then, both simple and physical controller is designed for the correspondi...
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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/10.1155/2020/4938149 |
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| _version_ | 1832553739341266944 |
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| author | Zhi Liu Rongwei Guo |
| author_facet | Zhi Liu Rongwei Guo |
| author_sort | Zhi Liu |
| collection | DOAJ |
| description | The stabilization problem of the complex chaotic system is investigated in this paper. First, a systematic method is proposed, by which a given complex chaotic system can be transformed into its equivalent real chaotic system. Then, both simple and physical controller is designed for the corresponding real chaotic system by the dynamic feedback control method, thereby the controller for the original complex chaotic system is obtained. Especially, for some complex system, the controller is obtained by the linear feedback control method. Finally, two illustrative examples with numerical simulations are used to verify the validity and effectiveness of the theoretical results. |
| format | Article |
| id | doaj-art-3e5c7f18b83b488ba0a6fac02c2df5fe |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-3e5c7f18b83b488ba0a6fac02c2df5fe2025-02-03T05:53:14ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/49381494938149Stabilization of a Class of Complex Chaotic Systems by the Dynamic Feedback ControlZhi Liu0Rongwei Guo1School of Information Engineering, Key Laboratory of TCM Data Cloud Service in Universities of Shandong (Shandong Management University), Shandong Management University, Jinan 250357, ChinaSchool of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, ChinaThe stabilization problem of the complex chaotic system is investigated in this paper. First, a systematic method is proposed, by which a given complex chaotic system can be transformed into its equivalent real chaotic system. Then, both simple and physical controller is designed for the corresponding real chaotic system by the dynamic feedback control method, thereby the controller for the original complex chaotic system is obtained. Especially, for some complex system, the controller is obtained by the linear feedback control method. Finally, two illustrative examples with numerical simulations are used to verify the validity and effectiveness of the theoretical results.http://dx.doi.org/10.1155/2020/4938149 |
| spellingShingle | Zhi Liu Rongwei Guo Stabilization of a Class of Complex Chaotic Systems by the Dynamic Feedback Control Complexity |
| title | Stabilization of a Class of Complex Chaotic Systems by the Dynamic Feedback Control |
| title_full | Stabilization of a Class of Complex Chaotic Systems by the Dynamic Feedback Control |
| title_fullStr | Stabilization of a Class of Complex Chaotic Systems by the Dynamic Feedback Control |
| title_full_unstemmed | Stabilization of a Class of Complex Chaotic Systems by the Dynamic Feedback Control |
| title_short | Stabilization of a Class of Complex Chaotic Systems by the Dynamic Feedback Control |
| title_sort | stabilization of a class of complex chaotic systems by the dynamic feedback control |
| url | http://dx.doi.org/10.1155/2020/4938149 |
| work_keys_str_mv | AT zhiliu stabilizationofaclassofcomplexchaoticsystemsbythedynamicfeedbackcontrol AT rongweiguo stabilizationofaclassofcomplexchaoticsystemsbythedynamicfeedbackcontrol |