Novel Stability Results for Halanay Inequality and Applications to Delay Neural Networks
This work investigates the stability of Halanay inequality. Some novel results are obtained by means of constructing an auxiliary differential equation. Some previous works are improved and extended. After that, the obtained results are applied to investigate the stability of neural networks with ti...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
IEEE
2020-01-01
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| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/8966269/ |
| _version_ | 1818608495923036160 |
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| author | Dehao Ruan Weiguo Liu Minran Yang Zhehao Huang Xiaoxia Guo |
| author_facet | Dehao Ruan Weiguo Liu Minran Yang Zhehao Huang Xiaoxia Guo |
| author_sort | Dehao Ruan |
| collection | DOAJ |
| description | This work investigates the stability of Halanay inequality. Some novel results are obtained by means of constructing an auxiliary differential equation. Some previous works are improved and extended. After that, the obtained results are applied to investigate the stability of neural networks with time-varying and distributed delays. At last, some examples along with numerical simulations are presented to illustrate the validity of the theoretical results. |
| first_indexed | 2024-12-16T14:43:34Z |
| format | Article |
| id | doaj.art-5865a39bf60347b490f293f27152f9cc |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-16T14:43:34Z |
| publishDate | 2020-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-5865a39bf60347b490f293f27152f9cc2022-12-21T22:27:50ZengIEEEIEEE Access2169-35362020-01-018195041951110.1109/ACCESS.2020.29687608966269Novel Stability Results for Halanay Inequality and Applications to Delay Neural NetworksDehao Ruan0https://orcid.org/0000-0002-6789-1405Weiguo Liu1https://orcid.org/0000-0002-3938-4385Minran Yang2https://orcid.org/0000-0002-3859-2190Zhehao Huang3https://orcid.org/0000-0003-4022-3842Xiaoxia Guo4https://orcid.org/0000-0003-4812-1779Guangzhou International Institute of Finance and Guangzhou University, Guangzhou, ChinaSchool of Mathematics and Statistics, Guangdong University of Finance and Economics, Guangzhou, ChinaLibrary, Guangzhou University, Guangzhou, ChinaGuangzhou International Institute of Finance and Guangzhou University, Guangzhou, ChinaSchool of Mathematics and Information Sciences, Guangzhou University, Guangzhou, ChinaThis work investigates the stability of Halanay inequality. Some novel results are obtained by means of constructing an auxiliary differential equation. Some previous works are improved and extended. After that, the obtained results are applied to investigate the stability of neural networks with time-varying and distributed delays. At last, some examples along with numerical simulations are presented to illustrate the validity of the theoretical results.https://ieeexplore.ieee.org/document/8966269/StabilityHalanay inequalitydelay neural networks |
| spellingShingle | Dehao Ruan Weiguo Liu Minran Yang Zhehao Huang Xiaoxia Guo Novel Stability Results for Halanay Inequality and Applications to Delay Neural Networks IEEE Access Stability Halanay inequality delay neural networks |
| title | Novel Stability Results for Halanay Inequality and Applications to Delay Neural Networks |
| title_full | Novel Stability Results for Halanay Inequality and Applications to Delay Neural Networks |
| title_fullStr | Novel Stability Results for Halanay Inequality and Applications to Delay Neural Networks |
| title_full_unstemmed | Novel Stability Results for Halanay Inequality and Applications to Delay Neural Networks |
| title_short | Novel Stability Results for Halanay Inequality and Applications to Delay Neural Networks |
| title_sort | novel stability results for halanay inequality and applications to delay neural networks |
| topic | Stability Halanay inequality delay neural networks |
| url | https://ieeexplore.ieee.org/document/8966269/ |
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