Global exponential synchronization of discrete-time high-order BAM neural networks with multiple time-varying delays
The global exponential synchronization (GES) problem of a class of discrete-time high-order bidirectional associative memory neural networks (BAMNNs) with multiple time-varying delays (T-VDs) is studied. We investigate novel delay-dependent global exponential stability criteria for the error system...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-11-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241605 |
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| _version_ | 1832590753312800768 |
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| author | Er-yong Cong Li Zhu Xian Zhang |
| author_facet | Er-yong Cong Li Zhu Xian Zhang |
| author_sort | Er-yong Cong |
| collection | DOAJ |
| description | The global exponential synchronization (GES) problem of a class of discrete-time high-order bidirectional associative memory neural networks (BAMNNs) with multiple time-varying delays (T-VDs) is studied. We investigate novel delay-dependent global exponential stability criteria for the error system by proposing a mathematical induction method. The global exponential stability criteria that have been obtained are described through linear scalar inequalities. These exponential synchronization conditions are very simple and convenient for verification based on standard software tools (such as YALMIP). Lastly, an instance is presented to demonstrate the validity of the theoretical findings. |
| format | Article |
| id | doaj-art-7c2183866333498491b0dad6f31af4dd |
| institution | Kabale University |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-7c2183866333498491b0dad6f31af4dd2025-01-23T07:53:24ZengAIMS PressAIMS Mathematics2473-69882024-11-01912336323364810.3934/math.20241605Global exponential synchronization of discrete-time high-order BAM neural networks with multiple time-varying delaysEr-yong Cong0Li Zhu1Xian Zhang2Department of Mathematics, Harbin University, Harbin 150086, ChinaDepartment of Mathematics, Harbin University, Harbin 150086, ChinaSchool of Mathematical Science, Heilongjiang University, Harbin 150080, ChinaThe global exponential synchronization (GES) problem of a class of discrete-time high-order bidirectional associative memory neural networks (BAMNNs) with multiple time-varying delays (T-VDs) is studied. We investigate novel delay-dependent global exponential stability criteria for the error system by proposing a mathematical induction method. The global exponential stability criteria that have been obtained are described through linear scalar inequalities. These exponential synchronization conditions are very simple and convenient for verification based on standard software tools (such as YALMIP). Lastly, an instance is presented to demonstrate the validity of the theoretical findings.https://www.aimspress.com/article/doi/10.3934/math.20241605discrete-time high-order bam neural networkmultiple time-varying delaysglobal exponential synchronizationlinear scalar inequalitiescontroller gains |
| spellingShingle | Er-yong Cong Li Zhu Xian Zhang Global exponential synchronization of discrete-time high-order BAM neural networks with multiple time-varying delays AIMS Mathematics discrete-time high-order bam neural network multiple time-varying delays global exponential synchronization linear scalar inequalities controller gains |
| title | Global exponential synchronization of discrete-time high-order BAM neural networks with multiple time-varying delays |
| title_full | Global exponential synchronization of discrete-time high-order BAM neural networks with multiple time-varying delays |
| title_fullStr | Global exponential synchronization of discrete-time high-order BAM neural networks with multiple time-varying delays |
| title_full_unstemmed | Global exponential synchronization of discrete-time high-order BAM neural networks with multiple time-varying delays |
| title_short | Global exponential synchronization of discrete-time high-order BAM neural networks with multiple time-varying delays |
| title_sort | global exponential synchronization of discrete time high order bam neural networks with multiple time varying delays |
| topic | discrete-time high-order bam neural network multiple time-varying delays global exponential synchronization linear scalar inequalities controller gains |
| url | https://www.aimspress.com/article/doi/10.3934/math.20241605 |
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