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 |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 1026-0226 1607-887X |