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Lagrange exponential stability of quaternion-valued memristive neural networks with time delays

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成果类型:
期刊论文
作者:
Wei, Ruoyu*;Cao, Jinde;Huang, Chuangxia
通讯作者:
Wei, Ruoyu
作者机构:
[Wei, Ruoyu; Cao, Jinde] Southeast Univ, Sch Math, Nanjing 210096, Peoples R China.
[Huang, Chuangxia] Changsha Univ Sci & Technol, Dept Appl Math, Changsha, Peoples R China.
通讯机构:
[Wei, Ruoyu] S
Southeast Univ, Sch Math, Nanjing 210096, Peoples R China.
语种:
英文
关键词:
Chemical activation;Lyapunov functions;Time delay;Activation functions;Decomposition methods;Global exponential stability;Lagrange;Lagrange stability;Lyapunov function approaches;Simulation example;Lagrange multipliers
期刊:
Mathematical Methods in the Applied Sciences
ISSN:
0170-4214
年:
2020
卷:
43
期:
12
页码:
7269-7291
基金类别:
This research was supported by the Scientific Research Foundation of Graduate School of Southeast University under Grant No. YBPY1919.
机构署名:
本校为其他机构
院系归属:
数学与统计学院
摘要:
This paper investigates the Lagrange global exponential stability of the quaternion-valued memristive neural networks (QVMNNs). Two kinds of activation functions based on different assumptions are considered. Then, based on the Lyapunov function approach, decomposition method, and some inequality skills, two novel sufficient conditions for lagrange stability of QVMNNs are provided corresponding to different types of activation functions. Lastly, simulation examples are provided to demonstrate the correctness...

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