Stability Analysis of Discrete Hopfield Neural Networks with the Nonnegative Definite Monotone Increasing Weight Function Matrix
The original Hopfield neural networks model is adapted so that the weights of the resulting network are time varying. In this paper, the Discrete Hopfield neural networks with weight function matrix (DHNNWFM) the weight changes with time, are considered, and the stability of DHNNWFM is analyzed. Com...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2009/673548 |
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| _version_ | 1832559029695545344 |
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| author | Jun Li Yongfeng Diao Mingdong Li Xing Yin |
| author_facet | Jun Li Yongfeng Diao Mingdong Li Xing Yin |
| author_sort | Jun Li |
| collection | DOAJ |
| description | The original Hopfield neural networks model is adapted so that the weights of the resulting network are time varying. In this paper, the Discrete Hopfield neural networks with weight function matrix (DHNNWFM) the weight changes with time, are considered, and the stability of DHNNWFM is analyzed. Combined with the Lyapunov function, we obtain some important results that if weight function matrix (WFM) is weakly (or strongly) nonnegative definite function matrix, the DHNNWFM will converge to a stable state in serial (or parallel) model, and if WFM consisted of strongly nonnegative definite function matrix and column (or row) diagonally dominant function matrix, DHNNWFM will converge to a stable state in parallel model. |
| format | Article |
| id | doaj-art-ba6aa3e77f0841438cdf41c1fc1c7651 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-ba6aa3e77f0841438cdf41c1fc1c76512025-02-03T01:31:05ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2009-01-01200910.1155/2009/673548673548Stability Analysis of Discrete Hopfield Neural Networks with the Nonnegative Definite Monotone Increasing Weight Function MatrixJun Li0Yongfeng Diao1Mingdong Li2Xing Yin3School of Computer Science and Technology, Pan Zhi Hua University, Panzhihua 637000, ChinaTeaching Affairs Office, China West Normal University, Nanchong 637002, ChinaSchool of Computer Science, China West Normal University, Nanchong 637002, ChinaSchool of Computer Science and Technology, Pan Zhi Hua University, Panzhihua 637000, ChinaThe original Hopfield neural networks model is adapted so that the weights of the resulting network are time varying. In this paper, the Discrete Hopfield neural networks with weight function matrix (DHNNWFM) the weight changes with time, are considered, and the stability of DHNNWFM is analyzed. Combined with the Lyapunov function, we obtain some important results that if weight function matrix (WFM) is weakly (or strongly) nonnegative definite function matrix, the DHNNWFM will converge to a stable state in serial (or parallel) model, and if WFM consisted of strongly nonnegative definite function matrix and column (or row) diagonally dominant function matrix, DHNNWFM will converge to a stable state in parallel model.http://dx.doi.org/10.1155/2009/673548 |
| spellingShingle | Jun Li Yongfeng Diao Mingdong Li Xing Yin Stability Analysis of Discrete Hopfield Neural Networks with the Nonnegative Definite Monotone Increasing Weight Function Matrix Discrete Dynamics in Nature and Society |
| title | Stability Analysis of Discrete Hopfield Neural Networks with the Nonnegative Definite Monotone Increasing Weight Function Matrix |
| title_full | Stability Analysis of Discrete Hopfield Neural Networks with the Nonnegative Definite Monotone Increasing Weight Function Matrix |
| title_fullStr | Stability Analysis of Discrete Hopfield Neural Networks with the Nonnegative Definite Monotone Increasing Weight Function Matrix |
| title_full_unstemmed | Stability Analysis of Discrete Hopfield Neural Networks with the Nonnegative Definite Monotone Increasing Weight Function Matrix |
| title_short | Stability Analysis of Discrete Hopfield Neural Networks with the Nonnegative Definite Monotone Increasing Weight Function Matrix |
| title_sort | stability analysis of discrete hopfield neural networks with the nonnegative definite monotone increasing weight function matrix |
| url | http://dx.doi.org/10.1155/2009/673548 |
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