Projective synchronization of fractional-order delayed neural networks based on the comparison principle

This paper considers projective synchronization of fractional-order delayed neural networks. Sufficient conditions for projective synchronization of master–slave systems are achieved by constructing a Lyapunov function, employing a fractional inequality and the comparison principle of linear fractio...

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Published in:Advances in difference equations 2018-02, Vol.2018 (1), p.1-16, Article 73
Main Authors: Zhang, Weiwei, Cao, Jinde, Wu, Ranchao, Alsaedi, Ahmed, Alsaadi, Fuad E.
Format: Article
Language:English
Subjects:
Analysis
Comparison principle
Difference and Functional Equations
Fractional order
Functional Analysis
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Projective synchronization
Time-delay
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description This paper considers projective synchronization of fractional-order delayed neural networks. Sufficient conditions for projective synchronization of master–slave systems are achieved by constructing a Lyapunov function, employing a fractional inequality and the comparison principle of linear fractional equation with delay. The corresponding numerical simulations demonstrate the feasibility of the theoretical result.
doi_str_mv 10.1186/s13662-018-1530-1
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subjects Analysis
Comparison principle
Difference and Functional Equations
Fractional order
Functional Analysis
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Projective synchronization
Time-delay
title Projective synchronization of fractional-order delayed neural networks based on the comparison principle
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