Adaptive Predefined-Time Synchronization of Two Different Fractional-Order Chaotic Systems With Time-Delay
This paper devotes to the adaptive globally synchronization within predefined-time of two time-delayed fractional-order chaotic systems. Firstly, through fractional calculus, two novel different fractional-order systems with time-delay are proposed, whose convergence is guaranteed and phase trajecto...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
IEEE
2021-01-01
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| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/9354793/ |
| _version_ | 1818448967088734208 |
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| author | Lixiong Lin Qing Wang Bingwei He Yanjie Chen Xiafu Peng Ruilin Mei |
| author_facet | Lixiong Lin Qing Wang Bingwei He Yanjie Chen Xiafu Peng Ruilin Mei |
| author_sort | Lixiong Lin |
| collection | DOAJ |
| description | This paper devotes to the adaptive globally synchronization within predefined-time of two time-delayed fractional-order chaotic systems. Firstly, through fractional calculus, two novel different fractional-order systems with time-delay are proposed, whose convergence is guaranteed and phase trajectory is given. Secondly, by exploiting the non-negative Lyapunov function and inequality theorem, a novel global predefined-time stability theorem is proposed, which can ensure the settling time tunable. And the upper bound of the settling time estimation is more accurate compared with the classical results. With the help of novel predefined-time stability theorem, two active controllers are designed, namely the fixed-time synchronization controller and predefined-time synchronization controller, to achieve the fixed-time synchronization and the predefined-time synchronization of two different time-delayed fractional-order chaotic systems respectively. Finally, several numerical simulations are presented in order to show the effectiveness of the proposed methods. |
| first_indexed | 2024-12-14T20:27:55Z |
| format | Article |
| id | doaj.art-e1ba788088954f0f91fe34184986fe54 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-14T20:27:55Z |
| publishDate | 2021-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-e1ba788088954f0f91fe34184986fe542022-12-21T22:48:35ZengIEEEIEEE Access2169-35362021-01-019319083192010.1109/ACCESS.2021.30593249354793Adaptive Predefined-Time Synchronization of Two Different Fractional-Order Chaotic Systems With Time-DelayLixiong Lin0https://orcid.org/0000-0002-9829-5358Qing Wang1https://orcid.org/0000-0003-0701-1418Bingwei He2https://orcid.org/0000-0002-4386-8542Yanjie Chen3https://orcid.org/0000-0001-9750-9177Xiafu Peng4Ruilin Mei5School of Mechanical Engineering and Automation, Fuzhou University, Fujian, ChinaSchool of Mechanical Engineering and Automation, Fuzhou University, Fujian, ChinaSchool of Mechanical Engineering and Automation, Fuzhou University, Fujian, ChinaSchool of Mechanical Engineering and Automation, Fuzhou University, Fujian, ChinaDepartment of Automation, Xiamen University, Fujian, ChinaSchool of Machinery and Automation, Wuhan University of Science and Technology, Hubei, ChinaThis paper devotes to the adaptive globally synchronization within predefined-time of two time-delayed fractional-order chaotic systems. Firstly, through fractional calculus, two novel different fractional-order systems with time-delay are proposed, whose convergence is guaranteed and phase trajectory is given. Secondly, by exploiting the non-negative Lyapunov function and inequality theorem, a novel global predefined-time stability theorem is proposed, which can ensure the settling time tunable. And the upper bound of the settling time estimation is more accurate compared with the classical results. With the help of novel predefined-time stability theorem, two active controllers are designed, namely the fixed-time synchronization controller and predefined-time synchronization controller, to achieve the fixed-time synchronization and the predefined-time synchronization of two different time-delayed fractional-order chaotic systems respectively. Finally, several numerical simulations are presented in order to show the effectiveness of the proposed methods.https://ieeexplore.ieee.org/document/9354793/Adaptive controllerfixed-time synchronizationnonlinear fractional-order systemspredefined-time synchronization |
| spellingShingle | Lixiong Lin Qing Wang Bingwei He Yanjie Chen Xiafu Peng Ruilin Mei Adaptive Predefined-Time Synchronization of Two Different Fractional-Order Chaotic Systems With Time-Delay IEEE Access Adaptive controller fixed-time synchronization nonlinear fractional-order systems predefined-time synchronization |
| title | Adaptive Predefined-Time Synchronization of Two Different Fractional-Order Chaotic Systems With Time-Delay |
| title_full | Adaptive Predefined-Time Synchronization of Two Different Fractional-Order Chaotic Systems With Time-Delay |
| title_fullStr | Adaptive Predefined-Time Synchronization of Two Different Fractional-Order Chaotic Systems With Time-Delay |
| title_full_unstemmed | Adaptive Predefined-Time Synchronization of Two Different Fractional-Order Chaotic Systems With Time-Delay |
| title_short | Adaptive Predefined-Time Synchronization of Two Different Fractional-Order Chaotic Systems With Time-Delay |
| title_sort | adaptive predefined time synchronization of two different fractional order chaotic systems with time delay |
| topic | Adaptive controller fixed-time synchronization nonlinear fractional-order systems predefined-time synchronization |
| url | https://ieeexplore.ieee.org/document/9354793/ |
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