Delay-Dependent Stability Criterion of Caputo Fractional Neural Networks with Distributed Delay
Joint Authors
Cao, Jinde
Elaiw, A. M.
Alofi, Abdulaziz
al-Mazrooei, Abdullah E.
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-12
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Alofi, Abdulaziz& Cao, Jinde& Elaiw, A. M.& al-Mazrooei, Abdullah E.. 2014. Delay-Dependent Stability Criterion of Caputo Fractional Neural Networks with Distributed Delay. Discrete Dynamics in Nature and Society،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-478993
Modern Language Association (MLA)
Alofi, Abdulaziz…[et al.]. Delay-Dependent Stability Criterion of Caputo Fractional Neural Networks with Distributed Delay. Discrete Dynamics in Nature and Society No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-478993
American Medical Association (AMA)
Alofi, Abdulaziz& Cao, Jinde& Elaiw, A. M.& al-Mazrooei, Abdullah E.. Delay-Dependent Stability Criterion of Caputo Fractional Neural Networks with Distributed Delay. Discrete Dynamics in Nature and Society. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-478993
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-478993