Existence and exponential stability of periodic solution for fuzzy BAM neural networks with periodic coefficient
A class of fuzzy bidirectional associated memory (BAM) networks with periodic coefficients is studied. Some sufficient conditions are established for the existence and global exponential stability of a periodic solution of such fuzzy BAM neural networks by using a continuation theorem based on the c...
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| Дата: | 2011 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2011
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| Назва видання: | Український математичний журнал |
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| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/166406 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Existence and exponential stability of periodic solution for fuzzy BAM neural networks with periodic coefficient / Dai-xi Liao, Li-hui Yang, Zhang Qian-hong // Український математичний журнал. — 2011. — Т. 63, № 12. — С. 1672–1684. — Бібліогр.: 22 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-166406 |
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irk-123456789-1664062020-02-20T01:26:53Z Existence and exponential stability of periodic solution for fuzzy BAM neural networks with periodic coefficient Dai-xi Liao Li-hui Yang Zhang Qian-hong Статті A class of fuzzy bidirectional associated memory (BAM) networks with periodic coefficients is studied. Some sufficient conditions are established for the existence and global exponential stability of a periodic solution of such fuzzy BAM neural networks by using a continuation theorem based on the coincidence degree and the Lyapunov-function method. The sufficient conditions are easy to verify in pattern recognition and automatic control. Finally, an example is given to show the feasibility and efficiency of our results. Вивчено клас нечiтких нейронних мереж Коско з перiодичним коефiцiєнтом. За допомогою теореми про продовження, що базується на ступенi збiгу та методi функцiй Ляпунова, встановлено достатнi умови для iснування та глобальної експоненцiальної стiйкостi перiодичного розв’язку таких нечiтких нейронних мереж Коско. Цi достатнi умови легко перевiряються при розпiзнаваннi образiв та автоматичному керуваннi. Наведено приклад, що демонструє застосовнiсть та ефективнiсть отриманих результатiв. 2011 Article Existence and exponential stability of periodic solution for fuzzy BAM neural networks with periodic coefficient / Dai-xi Liao, Li-hui Yang, Zhang Qian-hong // Український математичний журнал. — 2011. — Т. 63, № 12. — С. 1672–1684. — Бібліогр.: 22 назв. — англ. 1027-3190 http://dspace.nbuv.gov.ua/handle/123456789/166406 517.9 en Український математичний журнал Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| topic |
Статті Статті |
| spellingShingle |
Статті Статті Dai-xi Liao Li-hui Yang Zhang Qian-hong Existence and exponential stability of periodic solution for fuzzy BAM neural networks with periodic coefficient Український математичний журнал |
| description |
A class of fuzzy bidirectional associated memory (BAM) networks with periodic coefficients is studied. Some sufficient conditions are established for the existence and global exponential stability of a periodic solution of such fuzzy BAM neural networks by using a continuation theorem based on the coincidence degree and the Lyapunov-function method. The sufficient conditions are easy to verify in pattern recognition and automatic control. Finally, an example is given to show the feasibility and efficiency of our results. |
| format |
Article |
| author |
Dai-xi Liao Li-hui Yang Zhang Qian-hong |
| author_facet |
Dai-xi Liao Li-hui Yang Zhang Qian-hong |
| author_sort |
Dai-xi Liao |
| title |
Existence and exponential stability of periodic solution for fuzzy BAM neural networks with periodic coefficient |
| title_short |
Existence and exponential stability of periodic solution for fuzzy BAM neural networks with periodic coefficient |
| title_full |
Existence and exponential stability of periodic solution for fuzzy BAM neural networks with periodic coefficient |
| title_fullStr |
Existence and exponential stability of periodic solution for fuzzy BAM neural networks with periodic coefficient |
| title_full_unstemmed |
Existence and exponential stability of periodic solution for fuzzy BAM neural networks with periodic coefficient |
| title_sort |
existence and exponential stability of periodic solution for fuzzy bam neural networks with periodic coefficient |
| publisher |
Інститут математики НАН України |
| publishDate |
2011 |
| topic_facet |
Статті |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/166406 |
| citation_txt |
Existence and exponential stability of periodic solution for fuzzy BAM neural networks with periodic coefficient / Dai-xi Liao, Li-hui Yang, Zhang Qian-hong // Український математичний журнал. — 2011. — Т. 63, № 12. — С. 1672–1684. — Бібліогр.: 22 назв. — англ. |
| series |
Український математичний журнал |
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2023-10-18T22:18:23Z |
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