Further results on finite-time cluster synchronization of nonlinear coupled neural networks with time-varying delays
This paper considers the finite-time cluster synchronization (FTCS) problem for a general class of nonlinear coupled neural networks (NCNN) with time-varying delays based on a new finite-time analysis method. By employing the theories of finite-time control and Lyapunov functional, novel sufficient...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-03-01
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| Series: | Franklin Open |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2773186323000026 |
| _version_ | 1797753899814223872 |
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| author | Yong Shi Lanfeng Hua Kaibo Shi Shouming Zhong |
| author_facet | Yong Shi Lanfeng Hua Kaibo Shi Shouming Zhong |
| author_sort | Yong Shi |
| collection | DOAJ |
| description | This paper considers the finite-time cluster synchronization (FTCS) problem for a general class of nonlinear coupled neural networks (NCNN) with time-varying delays based on a new finite-time analysis method. By employing the theories of finite-time control and Lyapunov functional, novel sufficient conditions on FTCS of NCNN with transmission delays and coupled delays are proposed. Not resembling several previous results, the settling time estimation schemes are established without using classical finite-time stability lemmas. The new finite-time analysis method used in this paper combines the inequality method and Lyapunov functional theory and then obtains corresponding results according to the definition of finite-time stability. Furthermore, the results of proposed FTCS are obtained in a more general framework, which has a wider range of practical applications. Finally, a numerical example is presented to confirm the validity of the obtained control scheme. |
| first_indexed | 2024-03-12T17:24:35Z |
| format | Article |
| id | doaj.art-892d4aef5b434295ba9bebef2b2deaa8 |
| institution | Directory Open Access Journal |
| issn | 2773-1863 |
| language | English |
| last_indexed | 2024-03-12T17:24:35Z |
| publishDate | 2023-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Franklin Open |
| spelling | doaj.art-892d4aef5b434295ba9bebef2b2deaa82023-08-05T05:18:29ZengElsevierFranklin Open2773-18632023-03-012100008Further results on finite-time cluster synchronization of nonlinear coupled neural networks with time-varying delaysYong Shi0Lanfeng Hua1Kaibo Shi2Shouming Zhong3School of Mathematics and Statistics, Wuhan University, Wuhan Hubei 430072, PR ChinaSchool of Automation Engineering, University of Electronic Science and Technology of China, Chengdu Sichuan 611731, PR China; Corresponding authors.School of Electronic Information and Electrical Engineering, Chengdu University, Chengdu Sichuan 610106, PR China; Corresponding authors.School of Mathematics Sciences, University of Electronic Science and Technology of China, Chengdu Sichuan 611731, PR ChinaThis paper considers the finite-time cluster synchronization (FTCS) problem for a general class of nonlinear coupled neural networks (NCNN) with time-varying delays based on a new finite-time analysis method. By employing the theories of finite-time control and Lyapunov functional, novel sufficient conditions on FTCS of NCNN with transmission delays and coupled delays are proposed. Not resembling several previous results, the settling time estimation schemes are established without using classical finite-time stability lemmas. The new finite-time analysis method used in this paper combines the inequality method and Lyapunov functional theory and then obtains corresponding results according to the definition of finite-time stability. Furthermore, the results of proposed FTCS are obtained in a more general framework, which has a wider range of practical applications. Finally, a numerical example is presented to confirm the validity of the obtained control scheme.http://www.sciencedirect.com/science/article/pii/S2773186323000026Cluster synchronizationFinite-time controlNonlinear coupled neural networksTime-varying delaysLyapunov functionals |
| spellingShingle | Yong Shi Lanfeng Hua Kaibo Shi Shouming Zhong Further results on finite-time cluster synchronization of nonlinear coupled neural networks with time-varying delays Franklin Open Cluster synchronization Finite-time control Nonlinear coupled neural networks Time-varying delays Lyapunov functionals |
| title | Further results on finite-time cluster synchronization of nonlinear coupled neural networks with time-varying delays |
| title_full | Further results on finite-time cluster synchronization of nonlinear coupled neural networks with time-varying delays |
| title_fullStr | Further results on finite-time cluster synchronization of nonlinear coupled neural networks with time-varying delays |
| title_full_unstemmed | Further results on finite-time cluster synchronization of nonlinear coupled neural networks with time-varying delays |
| title_short | Further results on finite-time cluster synchronization of nonlinear coupled neural networks with time-varying delays |
| title_sort | further results on finite time cluster synchronization of nonlinear coupled neural networks with time varying delays |
| topic | Cluster synchronization Finite-time control Nonlinear coupled neural networks Time-varying delays Lyapunov functionals |
| url | http://www.sciencedirect.com/science/article/pii/S2773186323000026 |
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