Chaos Synchronization of a Finance Chaotic System with an Integral Sliding Mode Controller
In this paper, an integral sliding mode controller is proposed to realize the synchroniza-tion of a class of finance chaotic systems. First, an integral sliding surface with tanh function is designed. Then, fuzzy logic systems are used to estimate unknown functions, and then based on the Lyapunov st...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6611031 |
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| _version_ | 1850220417446313984 |
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| author | Jingjing Wang Chunzhi Yang |
| author_facet | Jingjing Wang Chunzhi Yang |
| author_sort | Jingjing Wang |
| collection | DOAJ |
| description | In this paper, an integral sliding mode controller is proposed to realize the synchroniza-tion of a class of finance chaotic systems. First, an integral sliding surface with tanh function is designed. Then, fuzzy logic systems are used to estimate unknown functions, and then based on the Lyapunov stability theorem, the proposed control method can quickly drive the synchroniza-tion error into a small neighborhood of zero, and the range of this neighborhood can be estimated. The simulation results verify that the proposed method in this paper is better than the traditional method. |
| format | Article |
| id | doaj-art-7b8f7ccae703485fbcd8d989f40fa9ea |
| institution | OA Journals |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-7b8f7ccae703485fbcd8d989f40fa9ea2025-08-20T02:07:05ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66110316611031Chaos Synchronization of a Finance Chaotic System with an Integral Sliding Mode ControllerJingjing Wang0Chunzhi Yang1Department of Mathematics, Huainan Normal University, Huainan 232038, ChinaDepartment of Mathematics, Huainan Normal University, Huainan 232038, ChinaIn this paper, an integral sliding mode controller is proposed to realize the synchroniza-tion of a class of finance chaotic systems. First, an integral sliding surface with tanh function is designed. Then, fuzzy logic systems are used to estimate unknown functions, and then based on the Lyapunov stability theorem, the proposed control method can quickly drive the synchroniza-tion error into a small neighborhood of zero, and the range of this neighborhood can be estimated. The simulation results verify that the proposed method in this paper is better than the traditional method.http://dx.doi.org/10.1155/2021/6611031 |
| spellingShingle | Jingjing Wang Chunzhi Yang Chaos Synchronization of a Finance Chaotic System with an Integral Sliding Mode Controller Journal of Mathematics |
| title | Chaos Synchronization of a Finance Chaotic System with an Integral Sliding Mode Controller |
| title_full | Chaos Synchronization of a Finance Chaotic System with an Integral Sliding Mode Controller |
| title_fullStr | Chaos Synchronization of a Finance Chaotic System with an Integral Sliding Mode Controller |
| title_full_unstemmed | Chaos Synchronization of a Finance Chaotic System with an Integral Sliding Mode Controller |
| title_short | Chaos Synchronization of a Finance Chaotic System with an Integral Sliding Mode Controller |
| title_sort | chaos synchronization of a finance chaotic system with an integral sliding mode controller |
| url | http://dx.doi.org/10.1155/2021/6611031 |
| work_keys_str_mv | AT jingjingwang chaossynchronizationofafinancechaoticsystemwithanintegralslidingmodecontroller AT chunzhiyang chaossynchronizationofafinancechaoticsystemwithanintegralslidingmodecontroller |