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 ◽  
...  
2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Qing Yang ◽  
Bo Du ◽  
Xiwang Cheng

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.


2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Yongkun Li ◽  
Bing Li

<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>


2020 ◽  
Vol 384 ◽  
pp. 11-20 ◽  
Author(s):  
Juan-Juan He ◽  
Ya-Qi Lin ◽  
Ming-Feng Ge ◽  
Chang-Duo Liang ◽  
Teng-Fei Ding ◽  
...  

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