Quasi-synchronization control of quaternion-valued fuzzy memristive neural networks

In this paper, a general class of delayed fuzzy memristive system described by quaternion parameters is considered. By designing a new Lyapunov function and appropriate feedback controller, sufficient conditions formulated by norm inequality are given to ensure the quasi-synchronization of the quate...

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Bibliographic Details
Published in:Fuzzy sets and systems 2023-11, Vol.472, p.108701, Article 108701
Main Authors: Li, Ruoxia, Cao, Jinde, Li, Ning
Format: Article
Language:English
Subjects:
Memristive system
Nonlinear scalarization
Norm
Quasi-synchronization
Quaternion
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Summary:In this paper, a general class of delayed fuzzy memristive system described by quaternion parameters is considered. By designing a new Lyapunov function and appropriate feedback controller, sufficient conditions formulated by norm inequality are given to ensure the quasi-synchronization of the quaternion-valued fuzzy memristive neural networks. It should be noted that, there is no systematic method to compare the size of two quaternions, so it is difficult to ensure the existence of the closed convex hull. To do so, a nonlinear scalarization approach is proposed in this paper, which established a generalized comparison method. Numerical example is given to show the effectiveness of our new results.
ISSN:0165-0114
1872-6801
DOI:10.1016/j.fss.2023.108701