Fixed time synchronization of delayed quaternion-valued memristor-based neural networks

This paper investigates the fixed time synchronization issue for a class of quaternion-valued memristor-based neural networks (QVMNN) at the presence of time varying delays. Differential inclusion and fixed time stability theory are used, and new synchronization conditions are formulated to achieve...

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Bibliographic Details
Published inAdvances in difference equations Vol. 2020; no. 1; pp. 1 - 16
Main Authors Chen, Dingyuan, Zhang, Weiwei, Cao, Jinde, Huang, Chuangxia
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 28.02.2020
Springer Nature B.V
SpringerOpen
Subjects
Analysis
Computer simulation
Difference and Functional Equations
Fixed time synchronization
Functional Analysis
Liapunov functions
Lyapunov function
Mathematics
Mathematics and Statistics
Memristor-based neural networks
Memristors
Neural networks
Ordinary Differential Equations
Partial Differential Equations
Projects
Quaternion
Quaternions
Time synchronization
Time varying delays
Memristor-based neural networks
Fixed time synchronization
Quaternion
Time varying delays
Lyapunov function
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Summary:This paper investigates the fixed time synchronization issue for a class of quaternion-valued memristor-based neural networks (QVMNN) at the presence of time varying delays. Differential inclusion and fixed time stability theory are used, and new synchronization conditions are formulated to achieve the synchronization of delayed QVMNN within a fixed time based on a Lyapunov function and a suitable controller. The feasibility of the proposed method is shown through numerical simulations.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-020-02560-w