Robustness Analysis of BAM Cellular Neural Network with Deviating Arguments of Generalized Type
By generating equivalent integral equations, we analyze the existence and uniqueness of solutions of bidirectional associative memory cellular neural network (BAMCNN) with deviating arguments firstly. Secondly, the question of robustness of stability (RoS) of BAMCNN with deviating argument is studie...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2023-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2023/9570805 |
| _version_ | 1797836848056238080 |
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| author | Wenxiang Fang Tao Xie Biwen Li |
| author_facet | Wenxiang Fang Tao Xie Biwen Li |
| author_sort | Wenxiang Fang |
| collection | DOAJ |
| description | By generating equivalent integral equations, we analyze the existence and uniqueness of solutions of bidirectional associative memory cellular neural network (BAMCNN) with deviating arguments firstly. Secondly, the question of robustness of stability (RoS) of BAMCNN with deviating argument is studied. Using the Gronwall inequality, we calculate the upper bounds of the interference intensities that can maintain the initial stability of system. The perturbed BAMCNN will maintain its original stability if the strength of one or more perturbations is less than the upper bounds that we calculated in this study. To demonstrate the validity of the conjectural values, a variety of numerical illustrations are provided. |
| first_indexed | 2024-04-09T15:16:32Z |
| format | Article |
| id | doaj.art-d59b96e78112463881c9eccaa5eb2a83 |
| institution | Directory Open Access Journal |
| issn | 1607-887X |
| language | English |
| last_indexed | 2024-04-09T15:16:32Z |
| publishDate | 2023-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj.art-d59b96e78112463881c9eccaa5eb2a832023-04-30T00:00:04ZengHindawi LimitedDiscrete Dynamics in Nature and Society1607-887X2023-01-01202310.1155/2023/9570805Robustness Analysis of BAM Cellular Neural Network with Deviating Arguments of Generalized TypeWenxiang Fang0Tao Xie1Biwen Li2School of Mathematics and StatisticsSchool of Mathematics and StatisticsSchool of Mathematics and StatisticsBy generating equivalent integral equations, we analyze the existence and uniqueness of solutions of bidirectional associative memory cellular neural network (BAMCNN) with deviating arguments firstly. Secondly, the question of robustness of stability (RoS) of BAMCNN with deviating argument is studied. Using the Gronwall inequality, we calculate the upper bounds of the interference intensities that can maintain the initial stability of system. The perturbed BAMCNN will maintain its original stability if the strength of one or more perturbations is less than the upper bounds that we calculated in this study. To demonstrate the validity of the conjectural values, a variety of numerical illustrations are provided.http://dx.doi.org/10.1155/2023/9570805 |
| spellingShingle | Wenxiang Fang Tao Xie Biwen Li Robustness Analysis of BAM Cellular Neural Network with Deviating Arguments of Generalized Type Discrete Dynamics in Nature and Society |
| title | Robustness Analysis of BAM Cellular Neural Network with Deviating Arguments of Generalized Type |
| title_full | Robustness Analysis of BAM Cellular Neural Network with Deviating Arguments of Generalized Type |
| title_fullStr | Robustness Analysis of BAM Cellular Neural Network with Deviating Arguments of Generalized Type |
| title_full_unstemmed | Robustness Analysis of BAM Cellular Neural Network with Deviating Arguments of Generalized Type |
| title_short | Robustness Analysis of BAM Cellular Neural Network with Deviating Arguments of Generalized Type |
| title_sort | robustness analysis of bam cellular neural network with deviating arguments of generalized type |
| url | http://dx.doi.org/10.1155/2023/9570805 |
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