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Almost automorphic solutions to cellular neural networks with neutral type delays and leakage delays on time scales

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成果类型:
期刊论文
作者:
Xu, Changjin*;Liao, Maoxin;Li, Peiluan;Liu, Zixin
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.
[Liao, Maoxin] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
[Li, Peiluan] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471023, Peoples R China.
[Liu, Zixin] Guizhou Univ Finance & Econ, Sch Math & Stat, Guiyang 550004, 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:
Asymptotic stability;Calculations;Fixed point arithmetic;Time measurement;Almost automorphic;Fixed point theorems;Leakage delays;Linear dynamic equations;Neutral-type delay;Time varying;Time-scales;Cellular neural networks
期刊:
International Journal of Computational Intelligence Systems
ISSN:
1875-6891
年:
2020
卷:
13
期:
1
页码:
1-11
基金类别:
The work is supported by National Natural Science Foundation of China (No. 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), Guizhou University of Finance and Economics (2018XZD01) and Foundation of Science and Technology of Guizhou Province ([2019]1051). The authors would like to thank the referees and the editor for helpful suggestions incorporated into this paper.
机构署名:
本校为其他机构
院系归属:
数理学院
摘要:
In this paper, cellular neural networks (CNNs) with neutral type delays and time-varying leakage delays are investigated. By applying the existence of the exponential dichotomy of linear dynamic equations on time scales, a fixed point theorem and the theory of calculus on time scales, a set of sufficient conditions which ensure the existence and exponential stability of almost automorphic solutions of the model are obtained. An example with its numerical simulations is given to support the theoretical find...

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