Synchronization of chaotic delayed systems via intermittent control and its adaptive strategy
In this paper the problem of synchronization for delayed chaotic systems is considered based on aperiodic intermittent control. First, delayed chaotic systems are proposed via aperiodic adaptive intermittent control. Next, to cut down the control gain, a new generalized intermittent control and its...
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Vilnius University Press
2021
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oai:doaj.org-article:8caaf84c20eb499f9297b2c15508fa742021-12-02T19:40:39ZSynchronization of chaotic delayed systems via intermittent control and its adaptive strategy10.15388/namc.2021.26.244191392-51132335-8963https://doaj.org/article/8caaf84c20eb499f9297b2c15508fa742021-11-01T00:00:00Zhttps://www.journals.vu.lt/nonlinear-analysis/article/view/24419https://doaj.org/toc/1392-5113https://doaj.org/toc/2335-8963 In this paper the problem of synchronization for delayed chaotic systems is considered based on aperiodic intermittent control. First, delayed chaotic systems are proposed via aperiodic adaptive intermittent control. Next, to cut down the control gain, a new generalized intermittent control and its adaptive strategy is introduced. Then, by constructing a piecewise Lyapunov auxiliary function and making use of piecewise analysis technique, some effective and novel criteria are obtained to ensure the global synchronization of delayed chaotic systems by means of the designed control protocols. At the end, two examples with numerical simulations are provided to verify the effectiveness of the theoretical results proposed scheme. Mei LiuJie ChenHaijun JiangZhiyong YuCheng HuBinglong LuVilnius University Pressarticledelayed chaotic systemsaperiodic intermittent controlsynchronizationadaptive strategyAnalysisQA299.6-433ENNonlinear Analysis, Vol 26, Iss 6 (2021) |
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DOAJ |
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DOAJ |
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EN |
| topic |
delayed chaotic systems aperiodic intermittent control synchronization adaptive strategy Analysis QA299.6-433 |
| spellingShingle |
delayed chaotic systems aperiodic intermittent control synchronization adaptive strategy Analysis QA299.6-433 Mei Liu Jie Chen Haijun Jiang Zhiyong Yu Cheng Hu Binglong Lu Synchronization of chaotic delayed systems via intermittent control and its adaptive strategy |
| description |
In this paper the problem of synchronization for delayed chaotic systems is considered based on aperiodic intermittent control. First, delayed chaotic systems are proposed via aperiodic adaptive intermittent control. Next, to cut down the control gain, a new generalized intermittent control and its adaptive strategy is introduced. Then, by constructing a piecewise Lyapunov auxiliary function and making use of piecewise analysis technique, some effective and novel criteria are obtained to ensure the global synchronization of delayed chaotic systems by means of the designed control protocols. At the end, two examples with numerical simulations are provided to verify the effectiveness of the theoretical results proposed scheme.
|
| format |
article |
| author |
Mei Liu Jie Chen Haijun Jiang Zhiyong Yu Cheng Hu Binglong Lu |
| author_facet |
Mei Liu Jie Chen Haijun Jiang Zhiyong Yu Cheng Hu Binglong Lu |
| author_sort |
Mei Liu |
| title |
Synchronization of chaotic delayed systems via intermittent control and its adaptive strategy |
| title_short |
Synchronization of chaotic delayed systems via intermittent control and its adaptive strategy |
| title_full |
Synchronization of chaotic delayed systems via intermittent control and its adaptive strategy |
| title_fullStr |
Synchronization of chaotic delayed systems via intermittent control and its adaptive strategy |
| title_full_unstemmed |
Synchronization of chaotic delayed systems via intermittent control and its adaptive strategy |
| title_sort |
synchronization of chaotic delayed systems via intermittent control and its adaptive strategy |
| publisher |
Vilnius University Press |
| publishDate |
2021 |
| url |
https://doaj.org/article/8caaf84c20eb499f9297b2c15508fa74 |
| work_keys_str_mv |
AT meiliu synchronizationofchaoticdelayedsystemsviaintermittentcontrolanditsadaptivestrategy AT jiechen synchronizationofchaoticdelayedsystemsviaintermittentcontrolanditsadaptivestrategy AT haijunjiang synchronizationofchaoticdelayedsystemsviaintermittentcontrolanditsadaptivestrategy AT zhiyongyu synchronizationofchaoticdelayedsystemsviaintermittentcontrolanditsadaptivestrategy AT chenghu synchronizationofchaoticdelayedsystemsviaintermittentcontrolanditsadaptivestrategy AT binglonglu synchronizationofchaoticdelayedsystemsviaintermittentcontrolanditsadaptivestrategy |
| _version_ |
1718376214748463104 |