Global stability of delayed Hopfield neural networks under dynamical thresholds
We study dynamical behavior of a class of cellular neural networks system with distributed delays under dynamical thresholds. By using topological degree theory and Lyapunov functions, some new criteria ensuring the existence, uniqueness, global asymptotic stability, and global exponential stability...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/DDNS.2005.1 |
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| _version_ | 1832550371649650688 |
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| author | Fei-Yu Zhang Wan-Tong Li |
| author_facet | Fei-Yu Zhang Wan-Tong Li |
| author_sort | Fei-Yu Zhang |
| collection | DOAJ |
| description | We study dynamical behavior of a class of cellular neural networks
system with distributed delays under dynamical thresholds. By using topological degree theory and Lyapunov functions, some new criteria ensuring the existence, uniqueness, global asymptotic stability, and global exponential stability of equilibrium point are derived. In particular, our criteria generalize and improve some known results in the literature. |
| format | Article |
| id | doaj-art-b4ce2958d7f04c5184884bbfdc59842b |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-b4ce2958d7f04c5184884bbfdc59842b2025-02-03T06:07:04ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2005-01-012005111710.1155/DDNS.2005.1Global stability of delayed Hopfield neural networks under dynamical thresholdsFei-Yu Zhang0Wan-Tong Li1Department of Mathematics, Hexi University, Gansu, Zhangye 734000, ChinaDepartment of Mathematics, Lanzhou University, Gansu, Lanzhou 730000, ChinaWe study dynamical behavior of a class of cellular neural networks system with distributed delays under dynamical thresholds. By using topological degree theory and Lyapunov functions, some new criteria ensuring the existence, uniqueness, global asymptotic stability, and global exponential stability of equilibrium point are derived. In particular, our criteria generalize and improve some known results in the literature.http://dx.doi.org/10.1155/DDNS.2005.1 |
| spellingShingle | Fei-Yu Zhang Wan-Tong Li Global stability of delayed Hopfield neural networks under dynamical thresholds Discrete Dynamics in Nature and Society |
| title | Global stability of delayed Hopfield neural networks under
dynamical thresholds |
| title_full | Global stability of delayed Hopfield neural networks under
dynamical thresholds |
| title_fullStr | Global stability of delayed Hopfield neural networks under
dynamical thresholds |
| title_full_unstemmed | Global stability of delayed Hopfield neural networks under
dynamical thresholds |
| title_short | Global stability of delayed Hopfield neural networks under
dynamical thresholds |
| title_sort | global stability of delayed hopfield neural networks under dynamical thresholds |
| url | http://dx.doi.org/10.1155/DDNS.2005.1 |
| work_keys_str_mv | AT feiyuzhang globalstabilityofdelayedhopfieldneuralnetworksunderdynamicalthresholds AT wantongli globalstabilityofdelayedhopfieldneuralnetworksunderdynamicalthresholds |