Semi-Global Polynomial Synchronization of High-Order Multiple Proportional-Delay BAM Neural Networks
This paper addresses the semi-global polynomial synchronization (SGPS) problem for a class of high-order bidirectional associative memory neural networks (HOBAMNNs) with multiple proportional delays. The time-delay-dependent semi-global polynomial stability criterion for error systems was establishe...
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| Format: | Article |
| Language: | English |
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MDPI AG
2025-05-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/13/9/1512 |
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| author | Er-yong Cong Xian Zhang Li Zhu |
| author_facet | Er-yong Cong Xian Zhang Li Zhu |
| author_sort | Er-yong Cong |
| collection | DOAJ |
| description | This paper addresses the semi-global polynomial synchronization (SGPS) problem for a class of high-order bidirectional associative memory neural networks (HOBAMNNs) with multiple proportional delays. The time-delay-dependent semi-global polynomial stability criterion for error systems was established via a direct approach. The derived stability conditions are formulated as several simple inequalities that are readily solvable, facilitating direct verification using standard computational tools (e.g., YALMIP). Notably, this method can be applied to many system models with proportional delays after minor modifications. Finally, a numerical example is provided to validate the effectiveness of the theoretical results. |
| format | Article |
| id | doaj-art-e9a67db64c4f4eacbb38157d4221a59e |
| institution | Kabale University |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-e9a67db64c4f4eacbb38157d4221a59e2025-08-20T03:49:22ZengMDPI AGMathematics2227-73902025-05-01139151210.3390/math13091512Semi-Global Polynomial Synchronization of High-Order Multiple Proportional-Delay BAM Neural NetworksEr-yong Cong0Xian Zhang1Li Zhu2Department of Mathematics, Harbin University, Harbin 150086, ChinaSchool of Mathematical Science, Heilongjiang University, Harbin 150080, ChinaDepartment of Mathematics, Harbin University, Harbin 150086, ChinaThis paper addresses the semi-global polynomial synchronization (SGPS) problem for a class of high-order bidirectional associative memory neural networks (HOBAMNNs) with multiple proportional delays. The time-delay-dependent semi-global polynomial stability criterion for error systems was established via a direct approach. The derived stability conditions are formulated as several simple inequalities that are readily solvable, facilitating direct verification using standard computational tools (e.g., YALMIP). Notably, this method can be applied to many system models with proportional delays after minor modifications. Finally, a numerical example is provided to validate the effectiveness of the theoretical results.https://www.mdpi.com/2227-7390/13/9/1512semi-global polynomial stabilityhigh-order BAM neural networksemi-global polynomial synchronizationproportional delayscontroller gains |
| spellingShingle | Er-yong Cong Xian Zhang Li Zhu Semi-Global Polynomial Synchronization of High-Order Multiple Proportional-Delay BAM Neural Networks Mathematics semi-global polynomial stability high-order BAM neural network semi-global polynomial synchronization proportional delays controller gains |
| title | Semi-Global Polynomial Synchronization of High-Order Multiple Proportional-Delay BAM Neural Networks |
| title_full | Semi-Global Polynomial Synchronization of High-Order Multiple Proportional-Delay BAM Neural Networks |
| title_fullStr | Semi-Global Polynomial Synchronization of High-Order Multiple Proportional-Delay BAM Neural Networks |
| title_full_unstemmed | Semi-Global Polynomial Synchronization of High-Order Multiple Proportional-Delay BAM Neural Networks |
| title_short | Semi-Global Polynomial Synchronization of High-Order Multiple Proportional-Delay BAM Neural Networks |
| title_sort | semi global polynomial synchronization of high order multiple proportional delay bam neural networks |
| topic | semi-global polynomial stability high-order BAM neural network semi-global polynomial synchronization proportional delays controller gains |
| url | https://www.mdpi.com/2227-7390/13/9/1512 |
| work_keys_str_mv | AT eryongcong semiglobalpolynomialsynchronizationofhighordermultipleproportionaldelaybamneuralnetworks AT xianzhang semiglobalpolynomialsynchronizationofhighordermultipleproportionaldelaybamneuralnetworks AT lizhu semiglobalpolynomialsynchronizationofhighordermultipleproportionaldelaybamneuralnetworks |