A novel nonzero functional method to extended dissipativity analysis for neural networks with Markovian jumps
This paper explored the topic of extended dissipativity analysis for Markovian jump neural networks (MJNNs) that were influenced by time-varying delays. A distinctive Lyapunov functional, distinguished by a non-zero delay-product types,was presented. This was achieved by combining a Wirtinger-based...
| 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/10356/179898 |
| _version_ | 1826116641321123840 |
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| author | Xue, Wenlong Tian, Yufeng Jin, Zhenghong |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Xue, Wenlong Tian, Yufeng Jin, Zhenghong |
| author_sort | Xue, Wenlong |
| collection | NTU |
| description | This paper explored the topic of extended dissipativity analysis for Markovian jump neural networks (MJNNs) that were influenced by time-varying delays. A distinctive Lyapunov functional, distinguished by a non-zero delay-product types,was presented. This was achieved by combining a Wirtinger-based double integral inequality with a flexible matrix set. This novel methodology addressed the limitations of the slack matrices found in earlier research. As a result, a fresh condition for extended dissipativity in MJNNs was formulated, utilizing an exponential type reciprocally convex inequality in conjunction with the newly introduced nonzero delay-product types. A numerical example was included to demonstrate the effectiveness of the proposed methodology. |
| first_indexed | 2024-10-01T04:14:42Z |
| format | Journal Article |
| id | ntu-10356/179898 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T04:14:42Z |
| publishDate | 2024 |
| record_format | dspace |
| spelling | ntu-10356/1798982024-09-06T15:40:24Z A novel nonzero functional method to extended dissipativity analysis for neural networks with Markovian jumps Xue, Wenlong Tian, Yufeng Jin, Zhenghong School of Electrical and Electronic Engineering Mathematical Sciences Neural networks Markovian jumps This paper explored the topic of extended dissipativity analysis for Markovian jump neural networks (MJNNs) that were influenced by time-varying delays. A distinctive Lyapunov functional, distinguished by a non-zero delay-product types,was presented. This was achieved by combining a Wirtinger-based double integral inequality with a flexible matrix set. This novel methodology addressed the limitations of the slack matrices found in earlier research. As a result, a fresh condition for extended dissipativity in MJNNs was formulated, utilizing an exponential type reciprocally convex inequality in conjunction with the newly introduced nonzero delay-product types. A numerical example was included to demonstrate the effectiveness of the proposed methodology. Published version 2024-09-02T02:34:51Z 2024-09-02T02:34:51Z 2024 Journal Article Xue, W., Tian, Y. & Jin, Z. (2024). A novel nonzero functional method to extended dissipativity analysis for neural networks with Markovian jumps. AIMS Mathematics, 9(7), 19049-19067. https://dx.doi.org/10.3934/math.2024927 2473-6988 https://hdl.handle.net/10356/179898 10.3934/math.2024927 2-s2.0-85195687347 7 9 19049 19067 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 Markovian jumps Xue, Wenlong Tian, Yufeng Jin, Zhenghong A novel nonzero functional method to extended dissipativity analysis for neural networks with Markovian jumps |
| title | A novel nonzero functional method to extended dissipativity analysis for neural networks with Markovian jumps |
| title_full | A novel nonzero functional method to extended dissipativity analysis for neural networks with Markovian jumps |
| title_fullStr | A novel nonzero functional method to extended dissipativity analysis for neural networks with Markovian jumps |
| title_full_unstemmed | A novel nonzero functional method to extended dissipativity analysis for neural networks with Markovian jumps |
| title_short | A novel nonzero functional method to extended dissipativity analysis for neural networks with Markovian jumps |
| title_sort | novel nonzero functional method to extended dissipativity analysis for neural networks with markovian jumps |
| topic | Mathematical Sciences Neural networks Markovian jumps |
| url | https://hdl.handle.net/10356/179898 |
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