@article{Zhu2024, 
author = {Jiaqing Zhu and Guodong Zhang and Leimin Wang},
title = {Quasi-projective and finite-time synchronization of fractional-order memristive complex-valued delay neural networks via hybrid control},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {3},
pages = {7627-7644},
keywords = {quasi-projective synchronization, finite-time synchronization, fractional-order, complex-valued, hybrid control},
url = {https://www.sciopen.com/article/10.3934/math.2024370},
doi = {10.3934/math.2024370},
abstract = {We focused on the quasi-projective synchronization (QPS) and finite-time synchronization (FNTS) for a class of fractional-order memristive complex-valued delay neural networks (FOMCVDNNs). Rather than decomposing the complex-valued system into its real and imaginary components, we adopted a more streamlined approach by introducing a lemma associated with the complex-valued sign function. This innovative technique enabled us to design a simpler discontinuous controller. Then, based on the finite-time Lemma, measurable selection theorem, Lyapunov function theory, properties of the Mittag-Leffler function, and the fractional-order Razumikhin theorem, various substantial results were derived using a novel hybrid control scheme. In conclusion, we presented numerical simulations to illustrate the practical effectiveness of our theoretical findings.}
}