Passivity and Synchronization of Multiple Multi-Delayed Neural Networks via Impulsive Control
This paper is concerned with the passivity and synchronization for multiple multi-delayed neural networks (MMDNNs) under impulsive control. To ensure the passivity, input strict passivity, and output strict passivity in MMDNNs, a suitable impulsive controller is designed. Moreover, an impulsive time...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2020/6021687 |
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| _version_ | 1832547173407916032 |
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| author | Yong Wang Zhichun Yang Tonglai Liu Hong-An Tang |
| author_facet | Yong Wang Zhichun Yang Tonglai Liu Hong-An Tang |
| author_sort | Yong Wang |
| collection | DOAJ |
| description | This paper is concerned with the passivity and synchronization for multiple multi-delayed neural networks (MMDNNs) under impulsive control. To ensure the passivity, input strict passivity, and output strict passivity in MMDNNs, a suitable impulsive controller is designed. Moreover, an impulsive time-dependent Lyapunov functional is exploited to obtain the synchronization criterion of MMDNNs, where the criterion is formulated by linear matrix inequalities. Numerical examples are given to verify the validity of the theoretical results. |
| format | Article |
| id | doaj-art-b8b9ab43c7d946688ae8a48ee9c5acdf |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-b8b9ab43c7d946688ae8a48ee9c5acdf2025-02-03T06:45:46ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/60216876021687Passivity and Synchronization of Multiple Multi-Delayed Neural Networks via Impulsive ControlYong Wang0Zhichun Yang1Tonglai Liu2Hong-An Tang3School of Computers, Guangdong University of Technology, Guangzhou 510006, ChinaChongqing Key Lab on IFBDA, School of Mathematical Sciences, Chongqing Normal University, Chongqing 400047, ChinaSchool of Computers, Guangdong University of Technology, Guangzhou 510006, ChinaChongqing Key Lab on IFBDA, School of Mathematical Sciences, Chongqing Normal University, Chongqing 400047, ChinaThis paper is concerned with the passivity and synchronization for multiple multi-delayed neural networks (MMDNNs) under impulsive control. To ensure the passivity, input strict passivity, and output strict passivity in MMDNNs, a suitable impulsive controller is designed. Moreover, an impulsive time-dependent Lyapunov functional is exploited to obtain the synchronization criterion of MMDNNs, where the criterion is formulated by linear matrix inequalities. Numerical examples are given to verify the validity of the theoretical results.http://dx.doi.org/10.1155/2020/6021687 |
| spellingShingle | Yong Wang Zhichun Yang Tonglai Liu Hong-An Tang Passivity and Synchronization of Multiple Multi-Delayed Neural Networks via Impulsive Control Discrete Dynamics in Nature and Society |
| title | Passivity and Synchronization of Multiple Multi-Delayed Neural Networks via Impulsive Control |
| title_full | Passivity and Synchronization of Multiple Multi-Delayed Neural Networks via Impulsive Control |
| title_fullStr | Passivity and Synchronization of Multiple Multi-Delayed Neural Networks via Impulsive Control |
| title_full_unstemmed | Passivity and Synchronization of Multiple Multi-Delayed Neural Networks via Impulsive Control |
| title_short | Passivity and Synchronization of Multiple Multi-Delayed Neural Networks via Impulsive Control |
| title_sort | passivity and synchronization of multiple multi delayed neural networks via impulsive control |
| url | http://dx.doi.org/10.1155/2020/6021687 |
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