Global exponential stability conditions for quaternion-valued neural networks with leakage, transmission and distribution delays
This paper studies the global exponential stability problem of quaternion-valued neural networks (QVNNs) with leakage, transmission, and distribution delays. To address this issue, a direct method based on system solutions is proposed to ensure the global exponential stability of the considered netw...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-06-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023970?viewType=HTML |
| _version_ | 1797801111413850112 |
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| author | Li Zhu Er-yong Cong Xian Zhang |
| author_facet | Li Zhu Er-yong Cong Xian Zhang |
| author_sort | Li Zhu |
| collection | DOAJ |
| description | This paper studies the global exponential stability problem of quaternion-valued neural networks (QVNNs) with leakage, transmission, and distribution delays. To address this issue, a direct method based on system solutions is proposed to ensure the global exponential stability of the considered network models. In addition, this method does not need to construct any Lyapunov-Krasovskii functional, which greatly reduces the amount of computation. Finally, a numerical example is given to demonstrate the effectiveness of the proposed results. |
| first_indexed | 2024-03-13T04:45:28Z |
| format | Article |
| id | doaj.art-721ee081b0a24f21b6f21842e04aa082 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-13T04:45:28Z |
| publishDate | 2023-06-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-721ee081b0a24f21b6f21842e04aa0822023-06-19T01:23:28ZengAIMS PressAIMS Mathematics2473-69882023-06-0188190181903810.3934/math.2023970Global exponential stability conditions for quaternion-valued neural networks with leakage, transmission and distribution delaysLi Zhu 0Er-yong Cong1Xian Zhang21. Department of Mathematics, Harbin University, Harbin 150086, China1. Department of Mathematics, Harbin University, Harbin 150086, China 2. Heilongjiang Provincial Key Laboratory of the Intelligent Perception and Intelligent Software, Harbin University, Harbin 150080, China3. School of Mathematical Science, Heilongjiang University, Harbin 150080, China 4. Heilongjiang Provincial Key Laboratory of the Theory and Computation of Complex Systems, Heilongjiang University, Harbin 150080, ChinaThis paper studies the global exponential stability problem of quaternion-valued neural networks (QVNNs) with leakage, transmission, and distribution delays. To address this issue, a direct method based on system solutions is proposed to ensure the global exponential stability of the considered network models. In addition, this method does not need to construct any Lyapunov-Krasovskii functional, which greatly reduces the amount of computation. Finally, a numerical example is given to demonstrate the effectiveness of the proposed results.https://www.aimspress.com/article/doi/10.3934/math.2023970?viewType=HTMLglobal exponential stabilitydistribution delaystransmission time-varying delaysquaternion-valued neural networksleakage delay |
| spellingShingle | Li Zhu Er-yong Cong Xian Zhang Global exponential stability conditions for quaternion-valued neural networks with leakage, transmission and distribution delays AIMS Mathematics global exponential stability distribution delays transmission time-varying delays quaternion-valued neural networks leakage delay |
| title | Global exponential stability conditions for quaternion-valued neural networks with leakage, transmission and distribution delays |
| title_full | Global exponential stability conditions for quaternion-valued neural networks with leakage, transmission and distribution delays |
| title_fullStr | Global exponential stability conditions for quaternion-valued neural networks with leakage, transmission and distribution delays |
| title_full_unstemmed | Global exponential stability conditions for quaternion-valued neural networks with leakage, transmission and distribution delays |
| title_short | Global exponential stability conditions for quaternion-valued neural networks with leakage, transmission and distribution delays |
| title_sort | global exponential stability conditions for quaternion valued neural networks with leakage transmission and distribution delays |
| topic | global exponential stability distribution delays transmission time-varying delays quaternion-valued neural networks leakage delay |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023970?viewType=HTML |
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