Shunting Inhibitory Cellular Neural Networks with Compartmental Unpredictable Coefficients and Inputs
Shunting inhibitory cellular neural networks with compartmental periodic unpredictable coefficients and inputs is the focus of this research. A new algorithm is suggested, to enlarge the set of known unpredictable functions by applying diagonalization in arguments of functions of several variables....
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-03-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/6/1367 |
| _version_ | 1797610342054887424 |
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| author | Marat Akhmet Madina Tleubergenova Akylbek Zhamanshin |
| author_facet | Marat Akhmet Madina Tleubergenova Akylbek Zhamanshin |
| author_sort | Marat Akhmet |
| collection | DOAJ |
| description | Shunting inhibitory cellular neural networks with compartmental periodic unpredictable coefficients and inputs is the focus of this research. A new algorithm is suggested, to enlarge the set of known unpredictable functions by applying diagonalization in arguments of functions of several variables. Sufficient conditions for the existence and uniqueness of exponentially stable unpredictable and Poisson stable outputs are obtained. To attain theoretical results, the included intervals method and the contraction mapping principle are used. Appropriate examples with numerical simulations that support the theoretical results are provided. It is shown how dynamics of the neural network depend on a new numerical characteristic, the degree of periodicity. |
| first_indexed | 2024-03-11T06:13:08Z |
| format | Article |
| id | doaj.art-32de16e95f8b4243a8c22dd43d8cdd05 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T06:13:08Z |
| publishDate | 2023-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-32de16e95f8b4243a8c22dd43d8cdd052023-11-17T12:27:38ZengMDPI AGMathematics2227-73902023-03-01116136710.3390/math11061367Shunting Inhibitory Cellular Neural Networks with Compartmental Unpredictable Coefficients and InputsMarat Akhmet0Madina Tleubergenova1Akylbek Zhamanshin2Department of Mathematics, Middle East Technical University, 06800 Ankara, TurkeyDepartment of Mathematics, Aktobe Regional University, Aktobe 030000, KazakhstanDepartment of Mathematics, Middle East Technical University, 06800 Ankara, TurkeyShunting inhibitory cellular neural networks with compartmental periodic unpredictable coefficients and inputs is the focus of this research. A new algorithm is suggested, to enlarge the set of known unpredictable functions by applying diagonalization in arguments of functions of several variables. Sufficient conditions for the existence and uniqueness of exponentially stable unpredictable and Poisson stable outputs are obtained. To attain theoretical results, the included intervals method and the contraction mapping principle are used. Appropriate examples with numerical simulations that support the theoretical results are provided. It is shown how dynamics of the neural network depend on a new numerical characteristic, the degree of periodicity.https://www.mdpi.com/2227-7390/11/6/1367shunting inhibitory cellular neural networkscompartmental periodic unpredictable functionsunpredictable solutionsPoisson stable solutionsthe method of included intervalsexponential stability |
| spellingShingle | Marat Akhmet Madina Tleubergenova Akylbek Zhamanshin Shunting Inhibitory Cellular Neural Networks with Compartmental Unpredictable Coefficients and Inputs Mathematics shunting inhibitory cellular neural networks compartmental periodic unpredictable functions unpredictable solutions Poisson stable solutions the method of included intervals exponential stability |
| title | Shunting Inhibitory Cellular Neural Networks with Compartmental Unpredictable Coefficients and Inputs |
| title_full | Shunting Inhibitory Cellular Neural Networks with Compartmental Unpredictable Coefficients and Inputs |
| title_fullStr | Shunting Inhibitory Cellular Neural Networks with Compartmental Unpredictable Coefficients and Inputs |
| title_full_unstemmed | Shunting Inhibitory Cellular Neural Networks with Compartmental Unpredictable Coefficients and Inputs |
| title_short | Shunting Inhibitory Cellular Neural Networks with Compartmental Unpredictable Coefficients and Inputs |
| title_sort | shunting inhibitory cellular neural networks with compartmental unpredictable coefficients and inputs |
| topic | shunting inhibitory cellular neural networks compartmental periodic unpredictable functions unpredictable solutions Poisson stable solutions the method of included intervals exponential stability |
| url | https://www.mdpi.com/2227-7390/11/6/1367 |
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