Synchronization of Fractional Order Uncertain BAM Competitive Neural Networks
This article examines the drive-response synchronization of a class of fractional order uncertain BAM (Bidirectional Associative Memory) competitive neural networks. By using the differential inclusions theory, and constructing a proper Lyapunov-Krasovskii functional, novel sufficient conditions are...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-12-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/6/1/14 |
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| author | M. Syed Ali M. Hymavathi Syeda Asma Kauser Grienggrai Rajchakit Porpattama Hammachukiattikul Nattakan Boonsatit |
| author_facet | M. Syed Ali M. Hymavathi Syeda Asma Kauser Grienggrai Rajchakit Porpattama Hammachukiattikul Nattakan Boonsatit |
| author_sort | M. Syed Ali |
| collection | DOAJ |
| description | This article examines the drive-response synchronization of a class of fractional order uncertain BAM (Bidirectional Associative Memory) competitive neural networks. By using the differential inclusions theory, and constructing a proper Lyapunov-Krasovskii functional, novel sufficient conditions are obtained to achieve global asymptotic stability of fractional order uncertain BAM competitive neural networks. This novel approach is based on the linear matrix inequality (LMI) technique and the derived conditions are easy to verify via the LMI toolbox. Moreover, numerical examples are presented to show the feasibility and effectiveness of the theoretical results. |
| first_indexed | 2024-03-10T01:27:59Z |
| format | Article |
| id | doaj.art-a58d97efe85949c2addb3515bb5abd1c |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-10T01:27:59Z |
| publishDate | 2021-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-a58d97efe85949c2addb3515bb5abd1c2023-11-23T13:48:38ZengMDPI AGFractal and Fractional2504-31102021-12-01611410.3390/fractalfract6010014Synchronization of Fractional Order Uncertain BAM Competitive Neural NetworksM. Syed Ali0M. Hymavathi1Syeda Asma Kauser2Grienggrai Rajchakit3Porpattama Hammachukiattikul4Nattakan Boonsatit5Department of Mathematics, Thiruvalluvar University, Vellore 632115, Tamil Nadu, IndiaDepartment of Mathematics, Thiruvalluvar University, Vellore 632115, Tamil Nadu, IndiaDepartment of Mathematics, Prince Sattam Bin Abdulaziz University, Al-Kharj 16278, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Maejo University, Chiang Mai 50290, ThailandDepartment of Mathematics, Faculty of Science, Phuket Rajabhat University (PKRU), 6 Thepkasattree Road, Raddasa, Phuket 83000, ThailandDepartment of Mathematics, Faculty of Science and Technology, Rajamangala University of Technology Suvarnabhumi, Nonthaburi 11000, ThailandThis article examines the drive-response synchronization of a class of fractional order uncertain BAM (Bidirectional Associative Memory) competitive neural networks. By using the differential inclusions theory, and constructing a proper Lyapunov-Krasovskii functional, novel sufficient conditions are obtained to achieve global asymptotic stability of fractional order uncertain BAM competitive neural networks. This novel approach is based on the linear matrix inequality (LMI) technique and the derived conditions are easy to verify via the LMI toolbox. Moreover, numerical examples are presented to show the feasibility and effectiveness of the theoretical results.https://www.mdpi.com/2504-3110/6/1/14fractional ordersynchronizationcompetitive neural networkLyapunov–Krasovskii functional |
| spellingShingle | M. Syed Ali M. Hymavathi Syeda Asma Kauser Grienggrai Rajchakit Porpattama Hammachukiattikul Nattakan Boonsatit Synchronization of Fractional Order Uncertain BAM Competitive Neural Networks Fractal and Fractional fractional order synchronization competitive neural network Lyapunov–Krasovskii functional |
| title | Synchronization of Fractional Order Uncertain BAM Competitive Neural Networks |
| title_full | Synchronization of Fractional Order Uncertain BAM Competitive Neural Networks |
| title_fullStr | Synchronization of Fractional Order Uncertain BAM Competitive Neural Networks |
| title_full_unstemmed | Synchronization of Fractional Order Uncertain BAM Competitive Neural Networks |
| title_short | Synchronization of Fractional Order Uncertain BAM Competitive Neural Networks |
| title_sort | synchronization of fractional order uncertain bam competitive neural networks |
| topic | fractional order synchronization competitive neural network Lyapunov–Krasovskii functional |
| url | https://www.mdpi.com/2504-3110/6/1/14 |
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