Stability Analysis of Cohen–Grossberg Type BAM Neural Network with Piecewise Constant Argument
This paper introduces the stability problems of Cohen–Grossberg type BAM neural network (BAMCGNN) with piecewise constant argument (PCA). By employing the homeomorphism theory, sufficient conditions for the existence and uniqueness of the equilibrium point are obtained; using inequality technique an...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2023-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2023/2013300 |
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| _version_ | 1832546686042374144 |
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| author | Wenqing Zheng Tao Xie Wenxiang Fang |
| author_facet | Wenqing Zheng Tao Xie Wenxiang Fang |
| author_sort | Wenqing Zheng |
| collection | DOAJ |
| description | This paper introduces the stability problems of Cohen–Grossberg type BAM neural network (BAMCGNN) with piecewise constant argument (PCA). By employing the homeomorphism theory, sufficient conditions for the existence and uniqueness of the equilibrium point are obtained; using inequality technique and Lyapunov method, sufficient stability criteria for BAMCGNN with PCA are presented. Finally, a numerical case shows the significance of the results of this paper. |
| format | Article |
| id | doaj-art-ab01f5ed4f1249d3937c0b9073f35caa |
| institution | Kabale University |
| issn | 1607-887X |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-ab01f5ed4f1249d3937c0b9073f35caa2025-02-03T06:47:31ZengWileyDiscrete Dynamics in Nature and Society1607-887X2023-01-01202310.1155/2023/2013300Stability Analysis of Cohen–Grossberg Type BAM Neural Network with Piecewise Constant ArgumentWenqing Zheng0Tao Xie1Wenxiang Fang2School of Mathematics and StatisticsSchool of Mathematics and StatisticsSchool of Mathematics and StatisticsThis paper introduces the stability problems of Cohen–Grossberg type BAM neural network (BAMCGNN) with piecewise constant argument (PCA). By employing the homeomorphism theory, sufficient conditions for the existence and uniqueness of the equilibrium point are obtained; using inequality technique and Lyapunov method, sufficient stability criteria for BAMCGNN with PCA are presented. Finally, a numerical case shows the significance of the results of this paper.http://dx.doi.org/10.1155/2023/2013300 |
| spellingShingle | Wenqing Zheng Tao Xie Wenxiang Fang Stability Analysis of Cohen–Grossberg Type BAM Neural Network with Piecewise Constant Argument Discrete Dynamics in Nature and Society |
| title | Stability Analysis of Cohen–Grossberg Type BAM Neural Network with Piecewise Constant Argument |
| title_full | Stability Analysis of Cohen–Grossberg Type BAM Neural Network with Piecewise Constant Argument |
| title_fullStr | Stability Analysis of Cohen–Grossberg Type BAM Neural Network with Piecewise Constant Argument |
| title_full_unstemmed | Stability Analysis of Cohen–Grossberg Type BAM Neural Network with Piecewise Constant Argument |
| title_short | Stability Analysis of Cohen–Grossberg Type BAM Neural Network with Piecewise Constant Argument |
| title_sort | stability analysis of cohen grossberg type bam neural network with piecewise constant argument |
| url | http://dx.doi.org/10.1155/2023/2013300 |
| work_keys_str_mv | AT wenqingzheng stabilityanalysisofcohengrossbergtypebamneuralnetworkwithpiecewiseconstantargument AT taoxie stabilityanalysisofcohengrossbergtypebamneuralnetworkwithpiecewiseconstantargument AT wenxiangfang stabilityanalysisofcohengrossbergtypebamneuralnetworkwithpiecewiseconstantargument |