Matrix measure-based exponential stability and synchronization of Markovian jumping QVNNs with time-varying delays and delayed impulses
This article explored the topics of global exponential stability and synchronization issues of a type of Markovian jumping quaternion-valued neural networks (QVNNs) that incorporate delayed impulses and time-varying delays. By utilizing the matrix measure strategy and delayed differential inequality...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-12-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241618 |
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| _version_ | 1832590763081334784 |
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| author | Miao Zhang Bole Li Weiqiang Gong Shuo Ma Qiang Li |
| author_facet | Miao Zhang Bole Li Weiqiang Gong Shuo Ma Qiang Li |
| author_sort | Miao Zhang |
| collection | DOAJ |
| description | This article explored the topics of global exponential stability and synchronization issues of a type of Markovian jumping quaternion-valued neural networks (QVNNs) that incorporate delayed impulses and time-varying delays. By utilizing the matrix measure strategy and delayed differential inequality techniques with an impulsive factor, several effective and practical criteria can be established to confirm that the impulsive QVNNs in question can achieve exponential synchronization with the given response system. Furthermore, the contained exponential convergence rate can be clearly presented. Notably, derived criteria are straightforward to verify and implement in real-world applications. In the end, to demonstrate the accuracy and effectiveness of achieved theoretical findings, one numerical example with an explanation was presented. |
| format | Article |
| id | doaj-art-a0d4be5c520348c2bf1866f7e2cea710 |
| institution | Kabale University |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-a0d4be5c520348c2bf1866f7e2cea7102025-01-23T07:53:24ZengAIMS PressAIMS Mathematics2473-69882024-12-01912339303395510.3934/math.20241618Matrix measure-based exponential stability and synchronization of Markovian jumping QVNNs with time-varying delays and delayed impulsesMiao Zhang0Bole Li1Weiqiang Gong2Shuo Ma3Qiang Li4School of Information and Artificial Intelligence, Anhui Agricultural University, Hefei 230036, ChinaSchool of Information and Artificial Intelligence, Anhui Agricultural University, Hefei 230036, ChinaSchool of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210023, ChinaSchool of Mathematics and Information Science, North Minzu University, Yinchuan 750021, ChinaSchool of Information and Artificial Intelligence, Anhui Agricultural University, Hefei 230036, ChinaThis article explored the topics of global exponential stability and synchronization issues of a type of Markovian jumping quaternion-valued neural networks (QVNNs) that incorporate delayed impulses and time-varying delays. By utilizing the matrix measure strategy and delayed differential inequality techniques with an impulsive factor, several effective and practical criteria can be established to confirm that the impulsive QVNNs in question can achieve exponential synchronization with the given response system. Furthermore, the contained exponential convergence rate can be clearly presented. Notably, derived criteria are straightforward to verify and implement in real-world applications. In the end, to demonstrate the accuracy and effectiveness of achieved theoretical findings, one numerical example with an explanation was presented.https://www.aimspress.com/article/doi/10.3934/math.20241618quaternion-valued neural networksmarkovian jumpingsynchronizationdelayed impulses |
| spellingShingle | Miao Zhang Bole Li Weiqiang Gong Shuo Ma Qiang Li Matrix measure-based exponential stability and synchronization of Markovian jumping QVNNs with time-varying delays and delayed impulses AIMS Mathematics quaternion-valued neural networks markovian jumping synchronization delayed impulses |
| title | Matrix measure-based exponential stability and synchronization of Markovian jumping QVNNs with time-varying delays and delayed impulses |
| title_full | Matrix measure-based exponential stability and synchronization of Markovian jumping QVNNs with time-varying delays and delayed impulses |
| title_fullStr | Matrix measure-based exponential stability and synchronization of Markovian jumping QVNNs with time-varying delays and delayed impulses |
| title_full_unstemmed | Matrix measure-based exponential stability and synchronization of Markovian jumping QVNNs with time-varying delays and delayed impulses |
| title_short | Matrix measure-based exponential stability and synchronization of Markovian jumping QVNNs with time-varying delays and delayed impulses |
| title_sort | matrix measure based exponential stability and synchronization of markovian jumping qvnns with time varying delays and delayed impulses |
| topic | quaternion-valued neural networks markovian jumping synchronization delayed impulses |
| url | https://www.aimspress.com/article/doi/10.3934/math.20241618 |
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