Asymptotical Stability of Riemann-Liouville Nonlinear Fractional Neutral Neural Networks with Time-Varying Delays
In this paper, the asymptotic stability of solutions is investigated for a class of nonlinear fractional neutral neural networks with time-dependent delays which are unbounded. By constructing the appropriate Lyapunov functional, sufficient conditions for asymptotic stability of neural networks are...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/6832472 |
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| _version_ | 1832563280375185408 |
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| author | Erdal Korkmaz Abdulhamit Ozdemir Kenan Yildirim |
| author_facet | Erdal Korkmaz Abdulhamit Ozdemir Kenan Yildirim |
| author_sort | Erdal Korkmaz |
| collection | DOAJ |
| description | In this paper, the asymptotic stability of solutions is investigated for a class of nonlinear fractional neutral neural networks with time-dependent delays which are unbounded. By constructing the appropriate Lyapunov functional, sufficient conditions for asymptotic stability of neural networks are obtained with the help of LMI. An example is presented by using the LMI Toolbox to demonstrate the effectiveness of the obtained results. |
| format | Article |
| id | doaj-art-32d1904298ad47a7bbb22548ca716d06 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-32d1904298ad47a7bbb22548ca716d062025-02-03T01:20:35ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/6832472Asymptotical Stability of Riemann-Liouville Nonlinear Fractional Neutral Neural Networks with Time-Varying DelaysErdal Korkmaz0Abdulhamit Ozdemir1Kenan Yildirim2MathematicsMathematicsMathematicsIn this paper, the asymptotic stability of solutions is investigated for a class of nonlinear fractional neutral neural networks with time-dependent delays which are unbounded. By constructing the appropriate Lyapunov functional, sufficient conditions for asymptotic stability of neural networks are obtained with the help of LMI. An example is presented by using the LMI Toolbox to demonstrate the effectiveness of the obtained results.http://dx.doi.org/10.1155/2022/6832472 |
| spellingShingle | Erdal Korkmaz Abdulhamit Ozdemir Kenan Yildirim Asymptotical Stability of Riemann-Liouville Nonlinear Fractional Neutral Neural Networks with Time-Varying Delays Journal of Mathematics |
| title | Asymptotical Stability of Riemann-Liouville Nonlinear Fractional Neutral Neural Networks with Time-Varying Delays |
| title_full | Asymptotical Stability of Riemann-Liouville Nonlinear Fractional Neutral Neural Networks with Time-Varying Delays |
| title_fullStr | Asymptotical Stability of Riemann-Liouville Nonlinear Fractional Neutral Neural Networks with Time-Varying Delays |
| title_full_unstemmed | Asymptotical Stability of Riemann-Liouville Nonlinear Fractional Neutral Neural Networks with Time-Varying Delays |
| title_short | Asymptotical Stability of Riemann-Liouville Nonlinear Fractional Neutral Neural Networks with Time-Varying Delays |
| title_sort | asymptotical stability of riemann liouville nonlinear fractional neutral neural networks with time varying delays |
| url | http://dx.doi.org/10.1155/2022/6832472 |
| work_keys_str_mv | AT erdalkorkmaz asymptoticalstabilityofriemannliouvillenonlinearfractionalneutralneuralnetworkswithtimevaryingdelays AT abdulhamitozdemir asymptoticalstabilityofriemannliouvillenonlinearfractionalneutralneuralnetworkswithtimevaryingdelays AT kenanyildirim asymptoticalstabilityofriemannliouvillenonlinearfractionalneutralneuralnetworkswithtimevaryingdelays |