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Existence and exponential stability of periodic solution for fuzzy BAM neural networks with periodic coefficient

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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Main Authors: Dai-xi Liao, Li-hui Yang, Zhang Qian-hong
Format: Article
Language:English
Published: Інститут математики НАН України 2011
Series:Український математичний журнал
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/166406
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spelling 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
work_keys_str_mv AT daixiliao existenceandexponentialstabilityofperiodicsolutionforfuzzybamneuralnetworkswithperiodiccoefficient
AT lihuiyang existenceandexponentialstabilityofperiodicsolutionforfuzzybamneuralnetworkswithperiodiccoefficient
AT zhangqianhong existenceandexponentialstabilityofperiodicsolutionforfuzzybamneuralnetworkswithperiodiccoefficient
first_indexed 2023-10-18T22:18:23Z
last_indexed 2023-10-18T22:18:23Z
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