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Quasi-Projective Synchronization of Discrete-Time Fractional-Order Complex-Valued BAM Fuzzy Neural Networks via Quantized Control.

Authors :
Xu, Yingying
Li, Hongli
Yang, Jikai
Zhang, Long
Source :
Fractal & Fractional. May2024, Vol. 8 Issue 5, p263. 18p.
Publication Year :
2024

Abstract

In this paper, we ponder a kind of discrete-time fractional-order complex-valued fuzzy BAM neural network. Firstly, in order to guarantee the quasi-projective synchronization of the considered networks, an original quantitative control strategy is designed. Next, by virtue of the relevant definitions and properties of the Mittag-Leffler function, we propose a novel discrete-time fractional-order Halanay inequality, which is more efficient for disposing of the discrete-time fractional-order models with time delays. Then, based on the new lemma, fractional-order h-difference theory, and comparison principle, we obtain some easy-to-verify synchronization criteria in terms of algebraic inequalities. Finally, numerical simulations are provided to check the accuracy of the proposed theoretical results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
25043110
Volume :
8
Issue :
5
Database :
Academic Search Index
Journal :
Fractal & Fractional
Publication Type :
Academic Journal
Accession number :
177497963
Full Text :
https://doi.org/10.3390/fractalfract8050263