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Fixed-time synchronization of quaternion-valued neural networks with time-varying delay
by
Cao, Jinde
, Kumar, Umesh
, Das, Subir
, Huang, Chuangxia
2020
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Fixed-time synchronization of quaternion-valued neural networks with time-varying delay
by
Cao, Jinde
, Kumar, Umesh
, Das, Subir
, Huang, Chuangxia
2020
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Fixed-time synchronization of quaternion-valued neural networks with time-varying delay
Journal Article
Fixed-time synchronization of quaternion-valued neural networks with time-varying delay
2020
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Overview
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.
Publisher
Royal Society
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