Passivity Analysis of Coupled Stochastic Neural Networks with Multiweights
In this paper, we devote to the investigation of passivity in two types of coupled stochastic neural networks (CSNNs) with multiweights and incompatible input and output dimensions. First, some new definitions of passivity are proposed for stochastic systems that may have incompatible input and outp...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2021/9688627 |
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| _version_ | 1850166676227620864 |
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| author | Min Cao Xun-Wu Yin Wen-He Song Xue-Mei Sun Cheng-Dong Yang Shun-Yan Ren |
| author_facet | Min Cao Xun-Wu Yin Wen-He Song Xue-Mei Sun Cheng-Dong Yang Shun-Yan Ren |
| author_sort | Min Cao |
| collection | DOAJ |
| description | In this paper, we devote to the investigation of passivity in two types of coupled stochastic neural networks (CSNNs) with multiweights and incompatible input and output dimensions. First, some new definitions of passivity are proposed for stochastic systems that may have incompatible input and output dimensions. By utilizing stochastic analysis techniques and Lyapunov functional method, several sufficient conditions are respectively developed for ensuring that CSNNs without and with multiple delay couplings can realize passivity. Besides, the synchronization criteria for CSNNs with multiweights are established by employing the results of output-strictly passivity. Finally, two simulation examples are given to illustrate the validity of the theoretical results. |
| format | Article |
| id | doaj-art-e35fe578846a46949c62ceb689f443e7 |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-e35fe578846a46949c62ceb689f443e72025-08-20T02:21:24ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2021-01-01202110.1155/2021/96886279688627Passivity Analysis of Coupled Stochastic Neural Networks with MultiweightsMin Cao0Xun-Wu Yin1Wen-He Song2Xue-Mei Sun3Cheng-Dong Yang4Shun-Yan Ren5Tianjin Key Laboratory of Autonomous Intelligences Technology and System, School of Computer Science and Technology, Tiangong University, Tianjin 300387, ChinaSchool of Mathematical Sciences, Tiangong University, Tianjin 300387, ChinaAcademy of Science and Technology, Tiangong University, Tianjin 300387, ChinaTianjin Key Laboratory of Autonomous Intelligences Technology and System, School of Computer Science and Technology, Tiangong University, Tianjin 300387, ChinaSchool of Information Science and Technology, Linyi University, Linyi 276005, ChinaSchool of Mechanical Engineering, Tiangong University, Tianjin 300387, ChinaIn this paper, we devote to the investigation of passivity in two types of coupled stochastic neural networks (CSNNs) with multiweights and incompatible input and output dimensions. First, some new definitions of passivity are proposed for stochastic systems that may have incompatible input and output dimensions. By utilizing stochastic analysis techniques and Lyapunov functional method, several sufficient conditions are respectively developed for ensuring that CSNNs without and with multiple delay couplings can realize passivity. Besides, the synchronization criteria for CSNNs with multiweights are established by employing the results of output-strictly passivity. Finally, two simulation examples are given to illustrate the validity of the theoretical results.http://dx.doi.org/10.1155/2021/9688627 |
| spellingShingle | Min Cao Xun-Wu Yin Wen-He Song Xue-Mei Sun Cheng-Dong Yang Shun-Yan Ren Passivity Analysis of Coupled Stochastic Neural Networks with Multiweights Discrete Dynamics in Nature and Society |
| title | Passivity Analysis of Coupled Stochastic Neural Networks with Multiweights |
| title_full | Passivity Analysis of Coupled Stochastic Neural Networks with Multiweights |
| title_fullStr | Passivity Analysis of Coupled Stochastic Neural Networks with Multiweights |
| title_full_unstemmed | Passivity Analysis of Coupled Stochastic Neural Networks with Multiweights |
| title_short | Passivity Analysis of Coupled Stochastic Neural Networks with Multiweights |
| title_sort | passivity analysis of coupled stochastic neural networks with multiweights |
| url | http://dx.doi.org/10.1155/2021/9688627 |
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