Dynamics for a Type of Differential-Algebraic Complex-Valued Neural Networks with Delay
In the article, we apply complex-valued neural networks (CVNNs) to differential-algebraic neural networks (DANNs) and establish a new type of differential-algebraic complex-valued neural network (DACVNN) with delay (DDACVNN). First of all, the focus of existence and uniqueness of the solution to DDA...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2022/5759152 |
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| author | Han Yu Ailong Wu |
| author_facet | Han Yu Ailong Wu |
| author_sort | Han Yu |
| collection | DOAJ |
| description | In the article, we apply complex-valued neural networks (CVNNs) to differential-algebraic neural networks (DANNs) and establish a new type of differential-algebraic complex-valued neural network (DACVNN) with delay (DDACVNN). First of all, the focus of existence and uniqueness of the solution to DDACVNN is addressed. Additionally, a theorem of global exponential stability (GES) of DDACVNN is investigated. In particular, in the discussion of this article, there is no restriction on whether the activation function requires that the real and imaginary parts can be dissociated. Finally, we will give two examples, namely, the activation function can separate the real and imaginary parts, and the activation function cannot separate the real and imaginary parts, both of which can confirm the truth of the effectiveness of theoretical results. |
| format | Article |
| id | doaj-art-5aab1eaad9c24f5a97d83beb2422564d |
| institution | OA Journals |
| issn | 1607-887X |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-5aab1eaad9c24f5a97d83beb2422564d2025-08-20T02:05:29ZengWileyDiscrete Dynamics in Nature and Society1607-887X2022-01-01202210.1155/2022/5759152Dynamics for a Type of Differential-Algebraic Complex-Valued Neural Networks with DelayHan Yu0Ailong Wu1College of Mathematics and StatisticsCollege of Mathematics and StatisticsIn the article, we apply complex-valued neural networks (CVNNs) to differential-algebraic neural networks (DANNs) and establish a new type of differential-algebraic complex-valued neural network (DACVNN) with delay (DDACVNN). First of all, the focus of existence and uniqueness of the solution to DDACVNN is addressed. Additionally, a theorem of global exponential stability (GES) of DDACVNN is investigated. In particular, in the discussion of this article, there is no restriction on whether the activation function requires that the real and imaginary parts can be dissociated. Finally, we will give two examples, namely, the activation function can separate the real and imaginary parts, and the activation function cannot separate the real and imaginary parts, both of which can confirm the truth of the effectiveness of theoretical results.http://dx.doi.org/10.1155/2022/5759152 |
| spellingShingle | Han Yu Ailong Wu Dynamics for a Type of Differential-Algebraic Complex-Valued Neural Networks with Delay Discrete Dynamics in Nature and Society |
| title | Dynamics for a Type of Differential-Algebraic Complex-Valued Neural Networks with Delay |
| title_full | Dynamics for a Type of Differential-Algebraic Complex-Valued Neural Networks with Delay |
| title_fullStr | Dynamics for a Type of Differential-Algebraic Complex-Valued Neural Networks with Delay |
| title_full_unstemmed | Dynamics for a Type of Differential-Algebraic Complex-Valued Neural Networks with Delay |
| title_short | Dynamics for a Type of Differential-Algebraic Complex-Valued Neural Networks with Delay |
| title_sort | dynamics for a type of differential algebraic complex valued neural networks with delay |
| url | http://dx.doi.org/10.1155/2022/5759152 |
| work_keys_str_mv | AT hanyu dynamicsforatypeofdifferentialalgebraiccomplexvaluedneuralnetworkswithdelay AT ailongwu dynamicsforatypeofdifferentialalgebraiccomplexvaluedneuralnetworkswithdelay |