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Neural Processing Letters
Published in: Neural Processing Letters 6/2021

18-07-2021

Synchronization in Fixed Time for Reaction–Diffusion Quaternion-Valued NNs with Nonlinear Interconnected Protocol and Its Application

Authors: Jingtao Man, Xiaona Song, Shuai Song

Published in: Neural Processing Letters | Issue 6/2021

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Abstract

This paper makes an interesting attempt to interconnect N quaternion-valued neural networks (QVNNs) with reaction–diffusion items by a nonlinear coupling protocol, which generates a meaningful issue of synchronization for the N subsystems. By designing a novel nonlinear feedback controller, the N subsystems can be synchronized in a fixed time, which is more efficient and practical than asymptotic synchronization. Based on the Lyapunov functional theory and fixed-time stability criterion, and by employing suitable inequality techniques, the fixed-time synchronization theorem of the nonlinear interconnected QVNNs with reaction–diffusion terms can be obtained. Furthermore, an application example that applies the main results to secure communication is provided, and the effectiveness and superiority of the proposed cryptosystem can be illustrated through comparisons.
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Metadata
Title
Synchronization in Fixed Time for Reaction–Diffusion Quaternion-Valued NNs with Nonlinear Interconnected Protocol and Its Application
Authors
Jingtao Man
Xiaona Song
Shuai Song
Publication date
18-07-2021
Publisher
Springer US
Published in
Neural Processing Letters / Issue 6/2021
Print ISSN: 1370-4621
Electronic ISSN: 1573-773X
DOI
https://doi.org/10.1007/s11063-021-10579-7

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