文章基本信息

标题：Anti-periodic behavior for quaternion-valued delayed cellular neural networks
本地全文：下载
作者：Zhenhua Duan ; Changjin Xu
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2021
卷号：2021
期号：1
页码：1
DOI：10.1186/s13662-021-03327-7
出版社：Hindawi Publishing Corporation
摘要：In this manuscript, quaternion-valued delayed cellular neural networks are studied. Applying the continuation theorem of coincidence degree theory, inequality techniques and a Lyapunov function approach, a new sufficient condition that guarantees the existence and exponential stability of anti-periodic solutions for quaternion-valued delayed cellular neural networks is presented. The obtained results supplement some earlier publications that deal with the anti-periodic solutions of quaternion-valued neural networks with distributed delay or impulse or state-dependent delay or inertial term. Computer simulations are displayed to check the derived analytical results.
关键词：Quaternion-valued delayed cellular neural networks ; Anti-periodic solution ; Exponential stability ; Time delay