Synchronization of a Class of Chaotic Systems with Different Dimensions
In this paper, two scaling matrices are used to research the synchronization of different dimensional chaotic systems with unknown parameters. Firstly, the definition of synchronization of chaotic systems with different dimensions is introduced. Secondly, based on Lyapunov stability theorem and adap...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/6666677 |
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| _version_ | 1832547696810917888 |
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| author | Jiming Zheng Juan Li |
| author_facet | Jiming Zheng Juan Li |
| author_sort | Jiming Zheng |
| collection | DOAJ |
| description | In this paper, two scaling matrices are used to research the synchronization of different dimensional chaotic systems with unknown parameters. Firstly, the definition of synchronization of chaotic systems with different dimensions is introduced. Secondly, based on Lyapunov stability theorem and adaptive control method, an adaptive feedback hybrid controller and parameter adaptive laws are designed to realize synchronization of uncertain chaotic systems with different dimensions. Finally, three numerical experiments are carried out to verify the effectiveness of the proposed method. |
| format | Article |
| id | doaj-art-4052f99eb07a42b6881fbfeb5f72f0e9 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-4052f99eb07a42b6881fbfeb5f72f0e92025-02-03T06:43:46ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/66666776666677Synchronization of a Class of Chaotic Systems with Different DimensionsJiming Zheng0Juan Li1Key Laboratory of Intelligent Analysis and Decision Complex Systems, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaSchool of Science, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaIn this paper, two scaling matrices are used to research the synchronization of different dimensional chaotic systems with unknown parameters. Firstly, the definition of synchronization of chaotic systems with different dimensions is introduced. Secondly, based on Lyapunov stability theorem and adaptive control method, an adaptive feedback hybrid controller and parameter adaptive laws are designed to realize synchronization of uncertain chaotic systems with different dimensions. Finally, three numerical experiments are carried out to verify the effectiveness of the proposed method.http://dx.doi.org/10.1155/2021/6666677 |
| spellingShingle | Jiming Zheng Juan Li Synchronization of a Class of Chaotic Systems with Different Dimensions Complexity |
| title | Synchronization of a Class of Chaotic Systems with Different Dimensions |
| title_full | Synchronization of a Class of Chaotic Systems with Different Dimensions |
| title_fullStr | Synchronization of a Class of Chaotic Systems with Different Dimensions |
| title_full_unstemmed | Synchronization of a Class of Chaotic Systems with Different Dimensions |
| title_short | Synchronization of a Class of Chaotic Systems with Different Dimensions |
| title_sort | synchronization of a class of chaotic systems with different dimensions |
| url | http://dx.doi.org/10.1155/2021/6666677 |
| work_keys_str_mv | AT jimingzheng synchronizationofaclassofchaoticsystemswithdifferentdimensions AT juanli synchronizationofaclassofchaoticsystemswithdifferentdimensions |