scholarly journals Synchronization criteria for neutral-type quaternion-valued neural networks with mixed delays

2021 ◽  
Vol 6 (8) ◽  
pp. 8044-8063
Author(s):  
Shuang Li ◽  
◽  
Xiao-mei Wang ◽  
Hong-ying Qin ◽  
Shou-ming Zhong ◽  
...  
Keyword(s):  
Neural Networks ◽  
Neutral Type ◽  
Mixed Delays

scholarly journals Global Asymptotical Stability of Neutral-Type Neural Networks with D-Operator and Mixed Delays

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Qing Yang ◽  
Bo Du ◽  
Xiwang Cheng
Keyword(s):  
Neural Networks ◽  
Periodic Solutions ◽  
Neutral Type ◽  
Sufficient Conditions ◽  
Asymptotical Stability ◽  
Mixed Delays ◽  
Global Asymptotical Stability ◽  
Numerical Example ◽  
The Stability ◽  
Theoretical Results

In this manuscript, we investigate the stability problems of neutral-type neural networks with D-operator and mixed delays. Some sufficient conditions are obtained for guaranteeing the existence, uniqueness, and global asymptotical stability of periodic solutions to the considered neural networks. Finally, a numerical example is performed to illustrate the theoretical results.

scholarly journals Pseudo compact almost automorphy of neutral type Clifford-valued neural networks with mixed delays

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Yongkun Li ◽  
Bing Li
Keyword(s):  
Neural Networks ◽  
Neutral Type ◽  
Mixed Delays ◽  
Feedback Connection ◽  
Deviating Arguments ◽  
Almost Automorphic ◽  
Almost Automorphic Functions ◽  
Discrete Delays ◽  
Theoretical Finding ◽  
Composition Theorem

<p style='text-indent:20px;'>We consider a class of neutral type Clifford-valued cellular neural networks with discrete delays and infinitely distributed delays. Unlike most previous studies on Clifford-valued neural networks, we assume that the self feedback connection weights of the networks are Clifford numbers rather than real numbers. In order to study the existence of <inline-formula><tex-math id="M1">\begin{document}$ (\mu, \nu) $\end{document}</tex-math></inline-formula>-pseudo compact almost automorphic solutions of the networks, we prove a composition theorem of <inline-formula><tex-math id="M2">\begin{document}$ (\mu, \nu) $\end{document}</tex-math></inline-formula>-pseudo compact almost automorphic functions with varying deviating arguments. Based on this composition theorem and the fixed point theorem, we establish the existence and the uniqueness of <inline-formula><tex-math id="M3">\begin{document}$ (\mu, \nu) $\end{document}</tex-math></inline-formula>-pseudo compact almost automorphic solutions of the networks. Then, we investigate the global exponential stability of the solution by employing differential inequality techniques. Finally, we give an example to illustrate our theoretical finding. Our results obtained in this paper are completely new, even when the considered networks are degenerated into real-valued, complex-valued or quaternion-valued networks.</p>

Adaptive finite-time cluster synchronization of neutral-type coupled neural networks with mixed delays

2020 ◽  
Vol 384 ◽  
pp. 11-20 ◽  
Author(s):  
Juan-Juan He ◽  
Ya-Qi Lin ◽  
Ming-Feng Ge ◽  
Chang-Duo Liang ◽  
Teng-Fei Ding ◽  
...  
Keyword(s):  
Neural Networks ◽  
Finite Time ◽  
Neutral Type ◽  
Cluster Synchronization ◽  
Mixed Delays ◽  
Coupled Neural Networks
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