Nonfragile Synchronization of Semi-Markovian Jumping Neural Networks with Time Delays via Sampled-Data Control and Application to Chaotic Systems
This study discusses the synchronization problem for delayed neural networks with semi-Markovian jumping parameters. With the support of Jenson’s inequality and Writinger-based integral inequality, a suitable Lyapunov–Krasovskii functional was constructed, and a synchronization criterion for the con...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/2562227 |
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| author | K. Sivaranjani M. Sivakumar S. Dharani K. Loganathan Ngawang Ngmgyel |
| author_facet | K. Sivaranjani M. Sivakumar S. Dharani K. Loganathan Ngawang Ngmgyel |
| author_sort | K. Sivaranjani |
| collection | DOAJ |
| description | This study discusses the synchronization problem for delayed neural networks with semi-Markovian jumping parameters. With the support of Jenson’s inequality and Writinger-based integral inequality, a suitable Lyapunov–Krasovskii functional was constructed, and a synchronization criterion for the considered system was derived in the form of LMIs. In order to cope with system uncertainties, the nonfragile controller was taken into account. Also, sampled-data controller is used to improve the effectiveness of the bandwidth usage. In order to achieve the benefits of both control techniques, the nonfragile sampled-data controller was considered for synchronization of semi-Markovian jumping neural networks and to assure that the error system is asymptotically stable. At last, numerical simulations are exhibited to validate the proposed technique. |
| format | Article |
| id | doaj-art-9a632855d2b940ed8a1abc761eaafca4 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-9a632855d2b940ed8a1abc761eaafca42025-08-20T03:36:52ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/25622272562227Nonfragile Synchronization of Semi-Markovian Jumping Neural Networks with Time Delays via Sampled-Data Control and Application to Chaotic SystemsK. Sivaranjani0M. Sivakumar1S. Dharani2K. Loganathan3Ngawang Ngmgyel4Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore 641 114, Tamilnadu, IndiaDepartment of Mathematics, PSG College of Technology, Coimbatore 641 004, Tamilnadu, IndiaDepartment of Mathematics, Bannari Amman Institute of Technology and Sciences, Erode 638 401, Tamilnadu, IndiaDepartment of Mathematics and Statistics, Manipal University Jaipur, Jaipur, Rajasthan, IndiaJigme Namgyel Engineering College, Royal University of Bhutan, Dewathang, Thimphu, BhutanThis study discusses the synchronization problem for delayed neural networks with semi-Markovian jumping parameters. With the support of Jenson’s inequality and Writinger-based integral inequality, a suitable Lyapunov–Krasovskii functional was constructed, and a synchronization criterion for the considered system was derived in the form of LMIs. In order to cope with system uncertainties, the nonfragile controller was taken into account. Also, sampled-data controller is used to improve the effectiveness of the bandwidth usage. In order to achieve the benefits of both control techniques, the nonfragile sampled-data controller was considered for synchronization of semi-Markovian jumping neural networks and to assure that the error system is asymptotically stable. At last, numerical simulations are exhibited to validate the proposed technique.http://dx.doi.org/10.1155/2021/2562227 |
| spellingShingle | K. Sivaranjani M. Sivakumar S. Dharani K. Loganathan Ngawang Ngmgyel Nonfragile Synchronization of Semi-Markovian Jumping Neural Networks with Time Delays via Sampled-Data Control and Application to Chaotic Systems Journal of Mathematics |
| title | Nonfragile Synchronization of Semi-Markovian Jumping Neural Networks with Time Delays via Sampled-Data Control and Application to Chaotic Systems |
| title_full | Nonfragile Synchronization of Semi-Markovian Jumping Neural Networks with Time Delays via Sampled-Data Control and Application to Chaotic Systems |
| title_fullStr | Nonfragile Synchronization of Semi-Markovian Jumping Neural Networks with Time Delays via Sampled-Data Control and Application to Chaotic Systems |
| title_full_unstemmed | Nonfragile Synchronization of Semi-Markovian Jumping Neural Networks with Time Delays via Sampled-Data Control and Application to Chaotic Systems |
| title_short | Nonfragile Synchronization of Semi-Markovian Jumping Neural Networks with Time Delays via Sampled-Data Control and Application to Chaotic Systems |
| title_sort | nonfragile synchronization of semi markovian jumping neural networks with time delays via sampled data control and application to chaotic systems |
| url | http://dx.doi.org/10.1155/2021/2562227 |
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