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

被引：23
|
作者：
Kumar, Umesh [1 ]
Das, Subir [1 ]
Huang, Chuangxia [2 ,3 ]
Cao, Jinde [4 ]
机构：
[1] Banaras Hindu Univ, Dept Math Sci, Indian Inst Technol, Varanasi 221005, Uttar Pradesh, India
[2] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China
[3] Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Hunan, Peoples R China
[4] Southeast Univ, Sch Math, Nanjing 211189, Peoples R China
来源：
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2020年 / 476卷 / 2241期
关键词：
fixed-time synchronization; settling time; Lyapunov function; quaternion-valued neural network; NICHOLSONS BLOWFLIES MODEL; STABILIZATION; STABILITY; DYNAMICS; SYSTEMS;
D O I：
10.1098/rspa.2020.0324
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
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 comparison of the settling time obtained by applying two different existing lemmas to a particular problem of synchronization of two identical QVNNs with time-varying delay with the help of suitable controllers.
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页数：13
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