Quasi‐stabilization/synchronization of quaternion‐valued memristive neural networks: Norm approach

This paper examines the quasi‐stabilization and synchronization of memristive neural networks in high dimensional forms. First, new criteria for the existence of the equilibrium point (EP) are delivered by contraction mapping principle. Then, a new Lyapunov function described with one‐norm form is imported for quasi‐stabilization/synchronization of the system. Finally, two numerical examples containing simulations are given to demonstrate the effectiveness.

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Publication Details

Journal
Mathematical Methods in the Applied Sciences
Published
2024-11-04
DOI
https://doi.org/10.1002/mma.10594
Citations
4
Primary Topic
Neural Networks Stability and Synchronization
Type
article
Field-Weighted Citation Impact
1.40

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article

Quasi‐stabilization/synchronization of quaternion‐valued memristive neural networks: Norm approach

Jinde Cao, Ruoxia Li
4 citations
Mathematical Methods in the Applied Sciences
Neural Networks Stability and Synchronization
1.40
article

Quasi‐stabilization/synchronization of quaternion‐valued memristive neural networks: Norm approach

Jinde Cao, Ruoxia Li
article en
4 citations

Abstract

This paper examines the quasi‐stabilization and synchronization of memristive neural networks in high dimensional forms. First, new criteria for the existence of the equilibrium point (EP) are delivered by contraction mapping principle. Then, a new Lyapunov function described with one‐norm form is imported for quasi‐stabilization/synchronization of the system. Finally, two numerical examples containing simulations are given to demonstrate the effectiveness.

Mathematical Methods in the Applied SciencesVol. 48(4)
Southeast University (CN), Shaanxi Normal University (CN)
Natural Science Foundation of Shaanxi Provincial Department of Education, Fundamental Research Funds for the Central Universities, Natural Science Basic Research Program of Shaanxi Province
Openalex Percentile: Top 17%
Neural Networks Stability and Synchronization
1.40
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