Robust Stability of Fractional Order Memristive BAM Neural Networks with Mixed and Additive Time Varying Delays
This paper is concerned with the problem of the robust stability of fractional-order memristive bidirectional associative memory (BAM) neural networks. Based on Lyapunov theory, fractional-order differential inequalities and linear matrix inequalities (LMI) are applied to obtain a robust asymptotica...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-01-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/6/2/62 |
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| author | Xiuping Han M. Hymavathi Sumaya Sanober Bhawna Dhupia M. Syed Ali |
| author_facet | Xiuping Han M. Hymavathi Sumaya Sanober Bhawna Dhupia M. Syed Ali |
| author_sort | Xiuping Han |
| collection | DOAJ |
| description | This paper is concerned with the problem of the robust stability of fractional-order memristive bidirectional associative memory (BAM) neural networks. Based on Lyapunov theory, fractional-order differential inequalities and linear matrix inequalities (LMI) are applied to obtain a robust asymptotical stability. Finally, numerical examples are presented. |
| first_indexed | 2024-03-09T21:56:02Z |
| format | Article |
| id | doaj.art-b53451f369b5443baedc41356780eb3d |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-09T21:56:02Z |
| publishDate | 2022-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-b53451f369b5443baedc41356780eb3d2023-11-23T19:58:34ZengMDPI AGFractal and Fractional2504-31102022-01-01626210.3390/fractalfract6020062Robust Stability of Fractional Order Memristive BAM Neural Networks with Mixed and Additive Time Varying DelaysXiuping Han0M. Hymavathi1Sumaya Sanober2Bhawna Dhupia3M. Syed Ali4School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, ChinaDepartment of Mathematics, Thiruvalluvar University, Vellore 632115, IndiaDepartment of Computer Science, College of Arts and Science, Prince Sattam Bin Abdulaziz University, Wadi Aldawaser 11991, Saudi ArabiaDepartment of Computer Science, College of Arts and Science, Prince Sattam Bin Abdulaziz University, Wadi Aldawaser 11991, Saudi ArabiaDepartment of Mathematics, Thiruvalluvar University, Vellore 632115, IndiaThis paper is concerned with the problem of the robust stability of fractional-order memristive bidirectional associative memory (BAM) neural networks. Based on Lyapunov theory, fractional-order differential inequalities and linear matrix inequalities (LMI) are applied to obtain a robust asymptotical stability. Finally, numerical examples are presented.https://www.mdpi.com/2504-3110/6/2/62robust stabilitymemristive BAM neural networksfractional ordermixed and additive time varying delays |
| spellingShingle | Xiuping Han M. Hymavathi Sumaya Sanober Bhawna Dhupia M. Syed Ali Robust Stability of Fractional Order Memristive BAM Neural Networks with Mixed and Additive Time Varying Delays Fractal and Fractional robust stability memristive BAM neural networks fractional order mixed and additive time varying delays |
| title | Robust Stability of Fractional Order Memristive BAM Neural Networks with Mixed and Additive Time Varying Delays |
| title_full | Robust Stability of Fractional Order Memristive BAM Neural Networks with Mixed and Additive Time Varying Delays |
| title_fullStr | Robust Stability of Fractional Order Memristive BAM Neural Networks with Mixed and Additive Time Varying Delays |
| title_full_unstemmed | Robust Stability of Fractional Order Memristive BAM Neural Networks with Mixed and Additive Time Varying Delays |
| title_short | Robust Stability of Fractional Order Memristive BAM Neural Networks with Mixed and Additive Time Varying Delays |
| title_sort | robust stability of fractional order memristive bam neural networks with mixed and additive time varying delays |
| topic | robust stability memristive BAM neural networks fractional order mixed and additive time varying delays |
| url | https://www.mdpi.com/2504-3110/6/2/62 |
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