Stability analysis of delayed neural networks via compound-parameter-based integral inequality
This paper revisits the issue of stability analysis of neural networks subjected to time-varying delays. A novel approach, termed a compound-matrix-based integral inequality (CPBII), which accounts for delay derivatives using two adjustable parameters, is introduced. By appropriately adjusting these...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/179899 |
| _version_ | 1824454805114847232 |
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| author | Xue, Wenlong Jin, Zhenghong Tian, Yufeng |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Xue, Wenlong Jin, Zhenghong Tian, Yufeng |
| author_sort | Xue, Wenlong |
| collection | NTU |
| description | This paper revisits the issue of stability analysis of neural networks subjected to time-varying delays. A novel approach, termed a compound-matrix-based integral inequality (CPBII), which accounts for delay derivatives using two adjustable parameters, is introduced. By appropriately adjusting these parameters, the CPBII efficiently incorporates coupling information along with delay derivatives within integral inequalities. By using CPBII, a novel stability criterion is established for neural networks with time-varying delays. The effectiveness of this approach is demonstrated through a numerical illustration. |
| first_indexed | 2025-02-19T03:28:09Z |
| format | Journal Article |
| id | ntu-10356/179899 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2025-02-19T03:28:09Z |
| publishDate | 2024 |
| record_format | dspace |
| spelling | ntu-10356/1798992024-09-06T15:40:23Z Stability analysis of delayed neural networks via compound-parameter-based integral inequality Xue, Wenlong Jin, Zhenghong Tian, Yufeng School of Electrical and Electronic Engineering Mathematical Sciences Neural networks Time-varying delay This paper revisits the issue of stability analysis of neural networks subjected to time-varying delays. A novel approach, termed a compound-matrix-based integral inequality (CPBII), which accounts for delay derivatives using two adjustable parameters, is introduced. By appropriately adjusting these parameters, the CPBII efficiently incorporates coupling information along with delay derivatives within integral inequalities. By using CPBII, a novel stability criterion is established for neural networks with time-varying delays. The effectiveness of this approach is demonstrated through a numerical illustration. Published version 2024-09-02T04:10:26Z 2024-09-02T04:10:26Z 2024 Journal Article Xue, W., Jin, Z. & Tian, Y. (2024). Stability analysis of delayed neural networks via compound-parameter-based integral inequality. AIMS Mathematics, 9(7), 19345-19360. https://dx.doi.org/10.3934/math.2024942 2473-6988 https://hdl.handle.net/10356/179899 10.3934/math.2024942 2-s2.0-85195632738 7 9 19345 19360 en AIMS Mathematics © 2024 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0). application/pdf |
| spellingShingle | Mathematical Sciences Neural networks Time-varying delay Xue, Wenlong Jin, Zhenghong Tian, Yufeng Stability analysis of delayed neural networks via compound-parameter-based integral inequality |
| title | Stability analysis of delayed neural networks via compound-parameter-based integral inequality |
| title_full | Stability analysis of delayed neural networks via compound-parameter-based integral inequality |
| title_fullStr | Stability analysis of delayed neural networks via compound-parameter-based integral inequality |
| title_full_unstemmed | Stability analysis of delayed neural networks via compound-parameter-based integral inequality |
| title_short | Stability analysis of delayed neural networks via compound-parameter-based integral inequality |
| title_sort | stability analysis of delayed neural networks via compound parameter based integral inequality |
| topic | Mathematical Sciences Neural networks Time-varying delay |
| url | https://hdl.handle.net/10356/179899 |
| work_keys_str_mv | AT xuewenlong stabilityanalysisofdelayedneuralnetworksviacompoundparameterbasedintegralinequality AT jinzhenghong stabilityanalysisofdelayedneuralnetworksviacompoundparameterbasedintegralinequality AT tianyufeng stabilityanalysisofdelayedneuralnetworksviacompoundparameterbasedintegralinequality |