Exponential stability of Cohen-Grossberg neural networks with multiple time-varying delays and distributed delays
Maybe because Cohen-Grossberg neural networks with multiple time-varying delays and distributed delays cannot be converted into the vector-matrix forms, the stability results of such networks are relatively few and the stability conditions in the linear matrix inequality forms have not been establis...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-06-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023978?viewType=HTML |
| _version_ | 1797801033618948096 |
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| author | Qinghua Zhou Li Wan Hongshan Wang Hongbo Fu Qunjiao Zhang |
| author_facet | Qinghua Zhou Li Wan Hongshan Wang Hongbo Fu Qunjiao Zhang |
| author_sort | Qinghua Zhou |
| collection | DOAJ |
| description | Maybe because Cohen-Grossberg neural networks with multiple time-varying delays and distributed delays cannot be converted into the vector-matrix forms, the stability results of such networks are relatively few and the stability conditions in the linear matrix inequality forms have not been established. So this paper investigates the exponential stability of the networks and gives the sufficient condition in the linear matrix inequality forms. Two examples are provided to demonstrate the effectiveness of the theoretical results. |
| first_indexed | 2024-03-13T04:45:15Z |
| format | Article |
| id | doaj.art-3fb2795593d04e27859ebba031b22b73 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-13T04:45:15Z |
| publishDate | 2023-06-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-3fb2795593d04e27859ebba031b22b732023-06-19T01:31:04ZengAIMS PressAIMS Mathematics2473-69882023-06-0188191611917110.3934/math.2023978Exponential stability of Cohen-Grossberg neural networks with multiple time-varying delays and distributed delaysQinghua Zhou0Li Wan1Hongshan Wang2 Hongbo Fu3Qunjiao Zhang41. School of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao 266061, China2. Research Center of Nonlinear Science, Research Center for Applied Mathematics and Interdisciplinary Sciences, School of Mathematical and Physical Sciences, Wuhan Textile University, Wuhan 430073, China2. Research Center of Nonlinear Science, Research Center for Applied Mathematics and Interdisciplinary Sciences, School of Mathematical and Physical Sciences, Wuhan Textile University, Wuhan 430073, China2. Research Center of Nonlinear Science, Research Center for Applied Mathematics and Interdisciplinary Sciences, School of Mathematical and Physical Sciences, Wuhan Textile University, Wuhan 430073, China2. Research Center of Nonlinear Science, Research Center for Applied Mathematics and Interdisciplinary Sciences, School of Mathematical and Physical Sciences, Wuhan Textile University, Wuhan 430073, ChinaMaybe because Cohen-Grossberg neural networks with multiple time-varying delays and distributed delays cannot be converted into the vector-matrix forms, the stability results of such networks are relatively few and the stability conditions in the linear matrix inequality forms have not been established. So this paper investigates the exponential stability of the networks and gives the sufficient condition in the linear matrix inequality forms. Two examples are provided to demonstrate the effectiveness of the theoretical results.https://www.aimspress.com/article/doi/10.3934/math.2023978?viewType=HTMLcohen-grossberg neural networksmultiple delaysexponential stability |
| spellingShingle | Qinghua Zhou Li Wan Hongshan Wang Hongbo Fu Qunjiao Zhang Exponential stability of Cohen-Grossberg neural networks with multiple time-varying delays and distributed delays AIMS Mathematics cohen-grossberg neural networks multiple delays exponential stability |
| title | Exponential stability of Cohen-Grossberg neural networks with multiple time-varying delays and distributed delays |
| title_full | Exponential stability of Cohen-Grossberg neural networks with multiple time-varying delays and distributed delays |
| title_fullStr | Exponential stability of Cohen-Grossberg neural networks with multiple time-varying delays and distributed delays |
| title_full_unstemmed | Exponential stability of Cohen-Grossberg neural networks with multiple time-varying delays and distributed delays |
| title_short | Exponential stability of Cohen-Grossberg neural networks with multiple time-varying delays and distributed delays |
| title_sort | exponential stability of cohen grossberg neural networks with multiple time varying delays and distributed delays |
| topic | cohen-grossberg neural networks multiple delays exponential stability |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023978?viewType=HTML |
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