Artificial neural networks: a practical review of applications involving fractional calculus

E Viera-Martin, JF Gómez-Aguilar… - The European Physical …, 2022 - Springer
In this work, a bibliographic analysis on artificial neural networks (ANNs) using fractional
calculus (FC) theory has been developed to summarize the main features and applications …

Adaptive backstep** hybrid fuzzy sliding mode control for uncertain fractional-order nonlinear systems based on finite-time scheme

S Song, B Zhang, J **a, Z Zhang - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
A fractional-order integral fuzzy sliding mode control scheme is proposed for a class of
uncertain fractional order nonlinear systems subject to uncertainties and external …

Robust stability of fractional-order quaternion-valued neural networks with neutral delays and parameter uncertainties

Q Song, Y Chen, Z Zhao, Y Liu, FE Alsaadi - Neurocomputing, 2021 - Elsevier
This paper focuses on the robust stability analysis of fractional-order quaternion-valued
neural networks (FOQVNNs) with neutral delay and parameter uncertainties. Without …

Global anti-synchronization of complex-valued memristive neural networks with time delays

D Liu, S Zhu, K Sun - IEEE transactions on cybernetics, 2018 - ieeexplore.ieee.org
This paper formulates a class of complex-valued memristive neural networks as well as
investigates the problem of anti-synchronization for complex-valued memristive neural …

Stability analysis of quaternion-valued neural networks with both discrete and distributed delays

Z Tu, Y Zhao, N Ding, Y Feng, W Zhang - Applied Mathematics and …, 2019 - Elsevier
The existence, uniqueness and stability of the equilibrium of quaternion-valued neural
networks (QVNNs) with both discrete and distributed delays are investigated in this paper …

Finite-time stability for fractional-order complex-valued neural networks with time delay

T Hu, Z He, X Zhang, S Zhong - Applied Mathematics and Computation, 2020 - Elsevier
This paper explores the finite-time stability of fractional-order complex valued neural
networks with time delay. By employing Laplace transform and the properties of Mittag …

New results on finite-time stability for fractional-order neural networks with proportional delay

Z Yang, J Zhang, J Hu, J Mei - Neurocomputing, 2021 - Elsevier
This paper investigates the finite-time stability for a class of fractional-order neural networks
with proportional delay. By some analytic techniques, a generalized Gronwall integral …

Existence and finite-time stability of discrete fractional-order complex-valued neural networks with time delays

X You, Q Song, Z Zhao - Neural Networks, 2020 - Elsevier
Without decomposing complex-valued systems into real-valued systems, the existence and
finite-time stability for discrete fractional-order complex-valued neural networks with time …

Synchronization in uncertain fractional-order memristive complex-valued neural networks with multiple time delays

W Zhang, H Zhang, J Cao, FE Alsaadi, D Chen - Neural Networks, 2019 - Elsevier
This paper considers the global asymptotical synchronization of fractional-order memristive
complex-valued neural networks (FOMCVNN), with both parameter uncertainties and …

LMI-based approach to stability analysis for fractional-order neural networks with discrete and distributed delays

H Zhang, R Ye, S Liu, J Cao, A Alsaedi… - International Journal of …, 2018 - Taylor & Francis
This paper is concerned with the asymptotic stability of the Riemann–Liouville fractional-
order neural networks with discrete and distributed delays. By constructing a suitable …