Novel stability criterion for DNNs via improved asymmetric LKF
This paper briefly proposes an improved asymmetric Lyapunov-Krasovskii functional to analyze the stability issue of delayed neural networks (DNNs). By utilizing linear matrix inequalities (LMIs) incorporating integral inequality and reciprocally convex combination techniques, a new stability criteri...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-09-01
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| Series: | Mathematical Modelling and Control |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mmc.2024025 |
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| _version_ | 1832590348101091328 |
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| author | Xianhao Zheng Jun Wang Kaibo Shi Yiqian Tang Jinde Cao |
| author_facet | Xianhao Zheng Jun Wang Kaibo Shi Yiqian Tang Jinde Cao |
| author_sort | Xianhao Zheng |
| collection | DOAJ |
| description | This paper briefly proposes an improved asymmetric Lyapunov-Krasovskii functional to analyze the stability issue of delayed neural networks (DNNs). By utilizing linear matrix inequalities (LMIs) incorporating integral inequality and reciprocally convex combination techniques, a new stability criterion is formulated. Compared to existing methods, the newly developed stability criterion demonstrates less conservatism and complexity in analyzing neural networks. To explicate the potency and preeminence of the proposed stability criterion, a renowned numerical instance is showcased, serving as an illustrative embodiment. |
| format | Article |
| id | doaj-art-9e810fcc423e45a496bd71e74c3ffeb5 |
| institution | Kabale University |
| issn | 2767-8946 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Modelling and Control |
| spelling | doaj-art-9e810fcc423e45a496bd71e74c3ffeb52025-01-24T01:02:08ZengAIMS PressMathematical Modelling and Control2767-89462024-09-014330731510.3934/mmc.2024025Novel stability criterion for DNNs via improved asymmetric LKFXianhao Zheng0Jun Wang1Kaibo Shi2Yiqian Tang3Jinde Cao4Electronic Information Engineering Key Laboratory of Electronic Information of State Ethnic Affairs Commission, College of Electrical Engineering, Southwest Minzu University, Chengdu 610041, ChinaElectronic Information Engineering Key Laboratory of Electronic Information of State Ethnic Affairs Commission, College of Electrical Engineering, Southwest Minzu University, Chengdu 610041, ChinaSchool of Electronic Information and Electrical Engineering, Chengdu University, Chengdu 610106, ChinaSchool of Electronic Information and Electrical Engineering, Chengdu University, Chengdu 610106, ChinaSchool of Mathematics, Southeast University, Nanjing 210096, ChinaThis paper briefly proposes an improved asymmetric Lyapunov-Krasovskii functional to analyze the stability issue of delayed neural networks (DNNs). By utilizing linear matrix inequalities (LMIs) incorporating integral inequality and reciprocally convex combination techniques, a new stability criterion is formulated. Compared to existing methods, the newly developed stability criterion demonstrates less conservatism and complexity in analyzing neural networks. To explicate the potency and preeminence of the proposed stability criterion, a renowned numerical instance is showcased, serving as an illustrative embodiment.https://www.aimspress.com/article/doi/10.3934/mmc.2024025asymmetric lyapunov-krasovskii functionaldelayed neural networkintegral inequalitystability criterion |
| spellingShingle | Xianhao Zheng Jun Wang Kaibo Shi Yiqian Tang Jinde Cao Novel stability criterion for DNNs via improved asymmetric LKF Mathematical Modelling and Control asymmetric lyapunov-krasovskii functional delayed neural network integral inequality stability criterion |
| title | Novel stability criterion for DNNs via improved asymmetric LKF |
| title_full | Novel stability criterion for DNNs via improved asymmetric LKF |
| title_fullStr | Novel stability criterion for DNNs via improved asymmetric LKF |
| title_full_unstemmed | Novel stability criterion for DNNs via improved asymmetric LKF |
| title_short | Novel stability criterion for DNNs via improved asymmetric LKF |
| title_sort | novel stability criterion for dnns via improved asymmetric lkf |
| topic | asymmetric lyapunov-krasovskii functional delayed neural network integral inequality stability criterion |
| url | https://www.aimspress.com/article/doi/10.3934/mmc.2024025 |
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