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Fixed-time synchronization of quaternion-valued neural networks with time-varying delay

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成果类型:
期刊论文
作者:
Kumar, Umesh;Das, Subir;Huang, Chuangxia*;Cao, Jinde*
通讯作者:
Huang, Chuangxia;Cao, Jinde
作者机构:
[Kumar, Umesh; Das, Subir] Banaras Hindu Univ, Dept Math Sci, Indian Inst Technol, Varanasi 221005, Uttar Pradesh, India.
[Huang, Chuangxia] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China.
[Huang, Chuangxia] Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Hunan, Peoples R China.
[Cao, Jinde] Southeast Univ, Sch Math, Nanjing 211189, Peoples R China.
通讯机构:
[Huang, Chuangxia] C
[Huang, Chuangxia] H
[Cao, Jinde] S
Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China.
Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Hunan, Peoples R China.
语种:
英文
关键词:
fixed-time synchronization;settling time;Lyapunov function;quaternion-valued neural network
期刊:
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
ISSN:
1364-5021
年:
2020
卷:
476
期:
2241
基金类别:
Council of Scientific and Industrial Research (CSIR), Government of IndiaCouncil of Scientific & Industrial Research (CSIR) - India
机构署名:
本校为通讯机构
院系归属:
数学与统计学院
摘要:
In this article, sufficient conditions for fixed-time synchronization of time-delayed quaternion-valued neural networks (QVNNs) are derived. Firstly, QVNNs are decomposed into four real-valued systems. Then using the available lemmas and by constructing the Lyapunov function, the synchronization criterion for the neural networks is proposed. Activation functions satisfy the Lipschitz condition. A suitable controller has been designed to synchronize the master-slave systems. The effectiveness of the proposed result is validated through a compari...

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