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Antiperiodic solutions to delayed inertial quaternion-valued neural networks

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成果类型:
期刊论文
作者:
Xu, Changjin*;Li, Peiluan;Liao, Maoxin;Liu, Zixin;Xiao, Qimei
通讯作者:
Xu, Changjin
作者机构:
[Xu, Changjin] Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Peoples R China.
[Li, Peiluan] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471023, Peoples R China.
[Liao, Maoxin] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
[Liu, Zixin] Guizhou Univ Finance & Econ, Sch Math & Stat, Guiyang 550004, Peoples R China.
[Xiao, Qimei] Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China.
通讯机构:
[Xu, Changjin] G
Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Peoples R China.
语种:
英文
关键词:
Engineering;Mathematical techniques;Anti-periodic solutions;Coincidence degree theory;Inertial terms;Sufficient criterion;Lyapunov functions
期刊:
Mathematical Methods in the Applied Sciences
ISSN:
0170-4214
年:
2020
卷:
43
期:
12
页码:
7326-7344
基金类别:
This work is supported by National Natural Science Foundation of China (61673008), Project of High‐level Innovative Talents of Guizhou Province ([2016]5651), Major Research Project of The Innovation Group of The Education Department of Guizhou Province ([2017]039), Innovative Exploration Project of Guizhou University of Finance and Economics ([2017]5736‐015), Project of Key Laboratory of Guizhou Province with Financial and Physical Features ([2017]004), Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering (Changsha University of Science& Technology) (2018MMAEZD21), University Science and Technology Top Talents Project of Guizhou Province (KY[2018]047), and Guizhou University of Finance and Economics (2018XZD01). This work is supported by National Natural Science Foundation of China (61673008), Project of High-level Innovative Talents of Guizhou Province ([2016]5651), Major Research Project of The Innovation Group of The Education Department of Guizhou Province ([2017]039), Innovative Exploration Project of Guizhou University of Finance and Economics ([2017]5736-015), Project of Key Laboratory of Guizhou Province with Financial and Physical Features ([2017]004), Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering (Changsha University of Science& Technology) (2018MMAEZD21), University Science and Technology Top Talents Project of Guizhou Province (KY[2018]047), and Guizhou University of Finance and Economics (2018XZD01). The authors declare that they have no conflict of interest.
机构署名:
本校为其他机构
院系归属:
数理学院
摘要:
This manuscript mainly deals with quaternion-valued neural networks (QVNNs) with delays and inertial term. Using Wirtinger inequality and coincidence degree theory, a new sufficient criterion to ensure the existence of antiperiodic solution of involved quaternion-valued neural networks is derived. With the aid of Lyapunov function, we discuss the exponential stability of antiperiodic solutions to quaternion-valued neural networks. Numerical simulations are presented to illustrate the estab...

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