Delay-Dependent Stability Criterion of Caputo Fractional Neural Networks with Distributed Delay
This paper is concerned with the finite-time stability of Caputo fractional neural networks with distributed delay. The factors of such systems including Caputo’s fractional derivative and distributed delay are taken into account synchronously. For the Caputo fractional neural network model, a finit...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2014/529358 |
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| _version_ | 1850213389081509888 |
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| author | Abdulaziz Alofi Jinde Cao Ahmed Elaiw Abdullah Al-Mazrooei |
| author_facet | Abdulaziz Alofi Jinde Cao Ahmed Elaiw Abdullah Al-Mazrooei |
| author_sort | Abdulaziz Alofi |
| collection | DOAJ |
| description | This paper is concerned with the finite-time stability of Caputo fractional neural networks
with distributed delay. The factors of such systems including Caputo’s fractional derivative and
distributed delay are taken into account synchronously. For the Caputo fractional neural network
model, a finite-time stability criterion is established by using the theory of fractional calculus and
generalized Gronwall-Bellman inequality approach. Both the proposed criterion and an illustrative
example show that the stability performance of Caputo fractional distributed delay neural networks
is dependent on the time delay and the order of Caputo’s fractional derivative over a finite time. |
| format | Article |
| id | doaj-art-83e35fb14e4049f29d2152b8eb26e689 |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-83e35fb14e4049f29d2152b8eb26e6892025-08-20T02:09:08ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/529358529358Delay-Dependent Stability Criterion of Caputo Fractional Neural Networks with Distributed DelayAbdulaziz Alofi0Jinde Cao1Ahmed Elaiw2Abdullah Al-Mazrooei3Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaThis paper is concerned with the finite-time stability of Caputo fractional neural networks with distributed delay. The factors of such systems including Caputo’s fractional derivative and distributed delay are taken into account synchronously. For the Caputo fractional neural network model, a finite-time stability criterion is established by using the theory of fractional calculus and generalized Gronwall-Bellman inequality approach. Both the proposed criterion and an illustrative example show that the stability performance of Caputo fractional distributed delay neural networks is dependent on the time delay and the order of Caputo’s fractional derivative over a finite time.http://dx.doi.org/10.1155/2014/529358 |
| spellingShingle | Abdulaziz Alofi Jinde Cao Ahmed Elaiw Abdullah Al-Mazrooei Delay-Dependent Stability Criterion of Caputo Fractional Neural Networks with Distributed Delay Discrete Dynamics in Nature and Society |
| title | Delay-Dependent Stability Criterion of Caputo Fractional Neural Networks with Distributed Delay |
| title_full | Delay-Dependent Stability Criterion of Caputo Fractional Neural Networks with Distributed Delay |
| title_fullStr | Delay-Dependent Stability Criterion of Caputo Fractional Neural Networks with Distributed Delay |
| title_full_unstemmed | Delay-Dependent Stability Criterion of Caputo Fractional Neural Networks with Distributed Delay |
| title_short | Delay-Dependent Stability Criterion of Caputo Fractional Neural Networks with Distributed Delay |
| title_sort | delay dependent stability criterion of caputo fractional neural networks with distributed delay |
| url | http://dx.doi.org/10.1155/2014/529358 |
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