Adaptive Modified Function Projective Lag Synchronization of Memristor-Based Five-Order Chaotic Circuit Systems
The modified function projective lag synchronization of the memristor-based five-order chaotic circuit system with unknown bounded disturbances is investigated. Based on the LMI approach and Lyapunov stability theorem, an adaptive control law is established to make the states of two different memris...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/1843179 |
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| _version_ | 1832560191632048128 |
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| author | Qiaoping Li Sanyang Liu |
| author_facet | Qiaoping Li Sanyang Liu |
| author_sort | Qiaoping Li |
| collection | DOAJ |
| description | The modified function projective lag synchronization of the memristor-based five-order chaotic circuit system with unknown bounded disturbances is investigated. Based on the LMI approach and Lyapunov stability theorem, an adaptive control law is established to make the states of two different memristor-based five-order chaotic circuit systems asymptotically synchronized up to a desired scaling function matrix, while the parameter controlling strength update law is designed to estimate the parameters well. Finally, the simulation is put forward to demonstrate the correctness and effectiveness of the proposed methods. The control method involved is simple and practical. |
| format | Article |
| id | doaj-art-824a40678dfe46d6abe40dacb5d27fc8 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-824a40678dfe46d6abe40dacb5d27fc82025-02-03T01:28:13ZengWileyAdvances in Mathematical Physics1687-91201687-91392017-01-01201710.1155/2017/18431791843179Adaptive Modified Function Projective Lag Synchronization of Memristor-Based Five-Order Chaotic Circuit SystemsQiaoping Li0Sanyang Liu1School of Mathematics and Statistics, Xidian University, Xi’an 710071, ChinaSchool of Mathematics and Statistics, Xidian University, Xi’an 710071, ChinaThe modified function projective lag synchronization of the memristor-based five-order chaotic circuit system with unknown bounded disturbances is investigated. Based on the LMI approach and Lyapunov stability theorem, an adaptive control law is established to make the states of two different memristor-based five-order chaotic circuit systems asymptotically synchronized up to a desired scaling function matrix, while the parameter controlling strength update law is designed to estimate the parameters well. Finally, the simulation is put forward to demonstrate the correctness and effectiveness of the proposed methods. The control method involved is simple and practical.http://dx.doi.org/10.1155/2017/1843179 |
| spellingShingle | Qiaoping Li Sanyang Liu Adaptive Modified Function Projective Lag Synchronization of Memristor-Based Five-Order Chaotic Circuit Systems Advances in Mathematical Physics |
| title | Adaptive Modified Function Projective Lag Synchronization of Memristor-Based Five-Order Chaotic Circuit Systems |
| title_full | Adaptive Modified Function Projective Lag Synchronization of Memristor-Based Five-Order Chaotic Circuit Systems |
| title_fullStr | Adaptive Modified Function Projective Lag Synchronization of Memristor-Based Five-Order Chaotic Circuit Systems |
| title_full_unstemmed | Adaptive Modified Function Projective Lag Synchronization of Memristor-Based Five-Order Chaotic Circuit Systems |
| title_short | Adaptive Modified Function Projective Lag Synchronization of Memristor-Based Five-Order Chaotic Circuit Systems |
| title_sort | adaptive modified function projective lag synchronization of memristor based five order chaotic circuit systems |
| url | http://dx.doi.org/10.1155/2017/1843179 |
| work_keys_str_mv | AT qiaopingli adaptivemodifiedfunctionprojectivelagsynchronizationofmemristorbasedfiveorderchaoticcircuitsystems AT sanyangliu adaptivemodifiedfunctionprojectivelagsynchronizationofmemristorbasedfiveorderchaoticcircuitsystems |