Stability Analysis of a Class of Fractional-order Neural Networks
In this paper, the problems of the existence and uniqueness of solutions and stability for a class of fractional-order neural networks are studied by using Banach fixed point principle and analysis technique, respectively. A sufficient condition is given to ensure the existence and uniqueness of sol...
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| Main Authors: | , , , , |
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| Format: | EJournal Article |
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Institute of Advanced Engineering and Science,
2014-02-01.
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| LEADER | 01951 am a22003133u 4500 | ||
|---|---|---|---|
| 001 | ijeecs3104_1173 | ||
| 042 | |a dc | ||
| 100 | 1 | 0 | |a Zou, Tao |e author |
| 100 | 1 | 0 | |e contributor |
| 700 | 1 | 0 | |a Qu, Jianfeng |e author |
| 700 | 1 | 0 | |a Chen, Liping |e author |
| 700 | 1 | 0 | |a Chai, Yi |e author |
| 700 | 1 | 0 | |a Yang, Zhimin |e author |
| 245 | 0 | 0 | |a Stability Analysis of a Class of Fractional-order Neural Networks |
| 260 | |b Institute of Advanced Engineering and Science, |c 2014-02-01. | ||
| 520 | |a In this paper, the problems of the existence and uniqueness of solutions and stability for a class of fractional-order neural networks are studied by using Banach fixed point principle and analysis technique, respectively. A sufficient condition is given to ensure the existence and uniqueness of solutions and uniform stability of solutions for fractional-order neural networks with variable coefficients and multiple time delays. The obtained results improve and extend some previous works to some extent, and they are easy to check in practice. An illustrative example is presented to show the validity and application of the proposed results. DOI :http://dx.doi.org/10.11591/telkomnika.v12i2.4409 | ||
| 540 | |a Copyright (c) 2014 Institute of Advanced Engineering and Science | ||
| 540 | |a http://creativecommons.org/licenses/by-nc-nd/4.0 | ||
| 546 | |a eng | ||
| 690 | |a neural networks; stability; fractional-order; time-varying coefficients; delays | ||
| 655 | 7 | |a info:eu-repo/semantics/article |2 local | |
| 655 | 7 | |a info:eu-repo/semantics/publishedVersion |2 local | |
| 655 | 7 | |2 local | |
| 786 | 0 | |n Indonesian Journal of Electrical Engineering and Computer Science; Vol 12, No 2: February 2014; 1086-1093 | |
| 786 | 0 | |n 2502-4760 | |
| 786 | 0 | |n 2502-4752 | |
| 786 | 0 | |n 10.11591/ijeecs.v12.i2 | |
| 787 | 0 | |n https://ijeecs.iaescore.com/index.php/IJEECS/article/view/3104/1173 | |
| 856 | 4 | 1 | |u https://ijeecs.iaescore.com/index.php/IJEECS/article/view/3104/1173 |z Get fulltext |