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Asymptotically stable high-order neutral cellular neural networks with proportional delays and D operators

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成果类型:
期刊论文
作者:
Huang, Chuangxia*;Su, Renli;Cao, Jinde;Xiao, Songlin
通讯作者:
Huang, Chuangxia
作者机构:
[Su, Renli; Huang, Chuangxia] Changsha Univ Sci & Technol, Dept Appl Math, Changsha, Peoples R China.
[Su, Renli; Huang, Chuangxia] Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Peoples R China.
[Cao, Jinde] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China.
[Xiao, Songlin] Putian Univ, Sch Math & Finance, Putian 351100, Peoples R China.
通讯机构:
[Huang, Chuangxia] C
Changsha Univ Sci & Technol, Dept Appl Math, Changsha, Peoples R China.
语种:
英文
关键词:
Asymptotic stability;Lyapunov methods;Stability criteria;Asymptotical stability;Asymptotically stable;High-order;Inequality techniques;Mathematical analysis;Proportional delay;Cellular neural networks
期刊:
Mathematics and Computers in Simulation
ISSN:
0378-4754
年:
2020
卷:
171
页码:
127-135
基金类别:
The work is partially supported by the National Natural Science Foundation of China (Nos. 11861037, 71471020, 51839002); the Hunan Provincial Natural Science Foundation of China (No. 2016JJ1001), the Scientific Research Fund of Hunan Provincial Education Department (Nos. 15A003, 16C0036). The work is partially supported by the National Natural Science Foundation of China (Nos. 11861037, 71471020, 51839002); the Hunan Provincial Natural Science Foundation of China (No. 2016JJ1001), the Scientific Research Fund of Hunan Provincial Education Department (Nos. 15A003, 16C0036). ☆ The work is partially supported by the National Natural Science Foundation of China (Nos. 11861037, 71471020, 51839002); the Hunan Provincial Natural Science Foundation of China (No. 2016JJ1001), the Scientific Research Fund of Hunan Provincial Education Department (Nos. 15A003, 16C0036).
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学院
摘要:
This paper aims to deal with the asymptotic stability of high-order neutral cellular neural networks (HNCNNs) incorporating proportional delays and D operators. Employing Lyapunov method, inequality technique and concise mathematical analysis proof, sufficient criteria on the global exponential asymptotical stability of the proposed HNCNNs are obtained. The main results provide us some light for designing stable HNCNNs and complement some earlier publications. In addition, simulations show that the theoretical convergence is in excellent agreem...

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