[HTML][HTML] 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 …

New approach to global Mittag-Leffler synchronization problem of fractional-order quaternion-valued BAM neural networks based on a new inequality

J **ao, S Wen, X Yang, S Zhong - Neural Networks, 2020 - Elsevier
In this paper, a novel kind of neural networks named fractional-order quaternion-valued
bidirectional associative memory neural networks (FQVBAMNNs) is formulated. On one …

Global synchronization of fractional-order quaternion-valued neural networks with leakage and discrete delays

HL Li, H Jiang, J Cao - Neurocomputing, 2020 - Elsevier
In this paper, without transforming the quaternion-valued neural networks into two
equivalent complex-valued systems or four equivalent real-valued systems, a novel class of …

New criteria on finite-time stability of fractional-order Hopfield neural networks with time delays

F Du, JG Lu - IEEE Transactions on Neural Networks and …, 2020 - ieeexplore.ieee.org
In this article, the finite-time stability (FTS) of fractional-order Hopfield neural networks with
time delays (FHNNTDs) is studied. A widely used inequality in investigating the stability of …

Fixed/predefined-time synchronization of coupled memristor-based neural networks with stochastic disturbance

L Zhou, H Lin, F Tan - Chaos, Solitons & Fractals, 2023 - Elsevier
In this paper, with the design of a unified adaptive controller, the fixed-time (FXT) and
predefined-time (PDT) synchronization problems of coupled memristor-based neural …

Mittag–Leffler stability and synchronization of neutral-type fractional-order neural networks with leakage delay and mixed delays

CA Popa - Journal of the Franklin Institute, 2023 - Elsevier
In recent years, there have been a lot of studies focusing on the dynamics of fractional-order
neural networks (FONNs). One problem is that the standard Lyapunov theory does not apply …

Impulsive disturbance on stability analysis of delayed quaternion-valued neural networks

H Wang, G Wei, S Wen, T Huang - Applied Mathematics and Computation, 2021 - Elsevier
In reality, abrupt uncertainty phenomenon may disturb or even break the system stability.
Under these circumstances, it is worthy of studying the stability criteria of impulsive disturbed …

[HTML][HTML] Lyapunov method for the stability analysis of uncertain fractional-order systems under input saturation

ESA Shahri, A Alfi, JAT Machado - Applied Mathematical Modelling, 2020 - Elsevier
The robust stability and stabilization of a class of fractional order systems under input
saturation is studied using the Lyapunov method. In the problem formulation the Lipchitz and …

Fixed-/Preassigned-time stabilization of delayed memristive neural networks

H Li, C Hu, G Zhang, J Hu, L Wang - Information Sciences, 2022 - Elsevier
This paper deals with the fixed-time stabilization (FXTS) and preassigned-time stabilization
(PATS) problems for delayed memristive neural networks (DMNNs) via a unified controller …

Passive filter design for fractional-order quaternion-valued neural networks with neutral delays and external disturbance

Q Song, S Chen, Z Zhao, Y Liu, FE Alsaadi - Neural Networks, 2021 - Elsevier
The problem on passive filter design for fractional-order quaternion-valued neural networks
(FOQVNNs) with neutral delays and external disturbance is considered in this paper …