On Global Exponential Stability of Discrete-Time Hopfield Neural Networks with Variable Delays
Global exponential stability of a class of discrete-time Hopfield neural networks with variable delays is considered. By making use of a difference inequality, a new global exponential stability result is provided. The result only requires the delay to be bounded. For this reason, the result is mild...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2007-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2007/67675 |
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| _version_ | 1832563581256728576 |
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| author | Qiang Zhang Xiaopeng Wei Jin Xu |
| author_facet | Qiang Zhang Xiaopeng Wei Jin Xu |
| author_sort | Qiang Zhang |
| collection | DOAJ |
| description | Global exponential stability of a class of discrete-time Hopfield
neural networks with variable delays is considered. By making use of
a difference inequality, a new global exponential stability result
is provided. The result only requires the delay to be bounded. For
this reason, the result is milder than those presented in the
earlier references. Furthermore, two examples are given to show the
efficiency of our result. |
| format | Article |
| id | doaj-art-952a7175002441faaa76d3b87322f5fd |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-952a7175002441faaa76d3b87322f5fd2025-02-03T01:13:11ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2007-01-01200710.1155/2007/6767567675On Global Exponential Stability of Discrete-Time Hopfield Neural Networks with Variable DelaysQiang Zhang0Xiaopeng Wei1Jin Xu2Liaoning Key Lab of Intelligent Information Processing, Dalian University, Dalian 116622, ChinaLiaoning Key Lab of Intelligent Information Processing, Dalian University, Dalian 116622, ChinaDepartment of Computer Science, Peking University, Beijing 100871, ChinaGlobal exponential stability of a class of discrete-time Hopfield neural networks with variable delays is considered. By making use of a difference inequality, a new global exponential stability result is provided. The result only requires the delay to be bounded. For this reason, the result is milder than those presented in the earlier references. Furthermore, two examples are given to show the efficiency of our result.http://dx.doi.org/10.1155/2007/67675 |
| spellingShingle | Qiang Zhang Xiaopeng Wei Jin Xu On Global Exponential Stability of Discrete-Time Hopfield Neural Networks with Variable Delays Discrete Dynamics in Nature and Society |
| title | On Global Exponential Stability of Discrete-Time Hopfield Neural Networks with Variable Delays |
| title_full | On Global Exponential Stability of Discrete-Time Hopfield Neural Networks with Variable Delays |
| title_fullStr | On Global Exponential Stability of Discrete-Time Hopfield Neural Networks with Variable Delays |
| title_full_unstemmed | On Global Exponential Stability of Discrete-Time Hopfield Neural Networks with Variable Delays |
| title_short | On Global Exponential Stability of Discrete-Time Hopfield Neural Networks with Variable Delays |
| title_sort | on global exponential stability of discrete time hopfield neural networks with variable delays |
| url | http://dx.doi.org/10.1155/2007/67675 |
| work_keys_str_mv | AT qiangzhang onglobalexponentialstabilityofdiscretetimehopfieldneuralnetworkswithvariabledelays AT xiaopengwei onglobalexponentialstabilityofdiscretetimehopfieldneuralnetworkswithvariabledelays AT jinxu onglobalexponentialstabilityofdiscretetimehopfieldneuralnetworkswithvariabledelays |