Synchronization control of time-delay neural networks via event-triggered non-fragile cost-guaranteed control
This paper is devoted to event-triggered non-fragile cost-guaranteed synchronization control for time-delay neural networks. The switched event-triggered mechanism, which combines periodic sampling and continuous event triggering, is used in the feedback channel. A piecewise functional is first appl...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-01-01
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| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2023004?viewType=HTML |
| _version_ | 1798031064832147456 |
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| author | Wenjing Wang Jingjing Dong Dong Xu Zhilian Yan Jianping Zhou |
| author_facet | Wenjing Wang Jingjing Dong Dong Xu Zhilian Yan Jianping Zhou |
| author_sort | Wenjing Wang |
| collection | DOAJ |
| description | This paper is devoted to event-triggered non-fragile cost-guaranteed synchronization control for time-delay neural networks. The switched event-triggered mechanism, which combines periodic sampling and continuous event triggering, is used in the feedback channel. A piecewise functional is first applied to fully utilize the information of the state and activation function. By employing the functional, various integral inequalities, and the free-weight matrix technique, a sufficient condition is established for exponential synchronization and cost-related performance. Then, a joint design of the needed non-fragile feedback gain and trigger matrix is derived by decoupling several nonlinear coupling terms. On the foundation of the joint design, an optimization scheme is given to acquire the minimum cost value while ensuring exponential stability of the synchronization-error system. Finally, a numerical example is used to illustrate the applicability of the present design scheme. |
| first_indexed | 2024-04-11T19:50:16Z |
| format | Article |
| id | doaj.art-643497ac1fb6421a8e704f9c330a584e |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-04-11T19:50:16Z |
| publishDate | 2023-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-643497ac1fb6421a8e704f9c330a584e2022-12-22T04:06:19ZengAIMS PressMathematical Biosciences and Engineering1551-00182023-01-01201527510.3934/mbe.2023004Synchronization control of time-delay neural networks via event-triggered non-fragile cost-guaranteed controlWenjing Wang0Jingjing Dong1Dong Xu2Zhilian Yan3Jianping Zhou41. School of Computer Science & Technology, Anhui University of Technology, Ma'anshan 243032, China1. School of Computer Science & Technology, Anhui University of Technology, Ma'anshan 243032, China1. School of Computer Science & Technology, Anhui University of Technology, Ma'anshan 243032, China2. School of Electrical & Information Engineering, Anhui University of Technology, Ma'anshan 243032, China1. School of Computer Science & Technology, Anhui University of Technology, Ma'anshan 243032, ChinaThis paper is devoted to event-triggered non-fragile cost-guaranteed synchronization control for time-delay neural networks. The switched event-triggered mechanism, which combines periodic sampling and continuous event triggering, is used in the feedback channel. A piecewise functional is first applied to fully utilize the information of the state and activation function. By employing the functional, various integral inequalities, and the free-weight matrix technique, a sufficient condition is established for exponential synchronization and cost-related performance. Then, a joint design of the needed non-fragile feedback gain and trigger matrix is derived by decoupling several nonlinear coupling terms. On the foundation of the joint design, an optimization scheme is given to acquire the minimum cost value while ensuring exponential stability of the synchronization-error system. Finally, a numerical example is used to illustrate the applicability of the present design scheme.https://www.aimspress.com/article/doi/10.3934/mbe.2023004?viewType=HTMLneural networkscost-guaranteed controltime delayevent-triggered controlsynchronization |
| spellingShingle | Wenjing Wang Jingjing Dong Dong Xu Zhilian Yan Jianping Zhou Synchronization control of time-delay neural networks via event-triggered non-fragile cost-guaranteed control Mathematical Biosciences and Engineering neural networks cost-guaranteed control time delay event-triggered control synchronization |
| title | Synchronization control of time-delay neural networks via event-triggered non-fragile cost-guaranteed control |
| title_full | Synchronization control of time-delay neural networks via event-triggered non-fragile cost-guaranteed control |
| title_fullStr | Synchronization control of time-delay neural networks via event-triggered non-fragile cost-guaranteed control |
| title_full_unstemmed | Synchronization control of time-delay neural networks via event-triggered non-fragile cost-guaranteed control |
| title_short | Synchronization control of time-delay neural networks via event-triggered non-fragile cost-guaranteed control |
| title_sort | synchronization control of time delay neural networks via event triggered non fragile cost guaranteed control |
| topic | neural networks cost-guaranteed control time delay event-triggered control synchronization |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2023004?viewType=HTML |
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