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 …

Image encryption algorithm for synchronously updating Boolean networks based on matrix semi-tensor product theory

X Wang, S Gao - Information sciences, 2020 - Elsevier
This paper studies chaotic image encryption technology and an application of matrix semi-
tensor product theory, and a Boolean network encryption algorithm for a synchronous …

Robust passivity and stability analysis of uncertain complex-valued impulsive neural networks with time-varying delays

G Rajchakit, R Sriraman - Neural Processing Letters, 2021 - Springer
In this article, we investigate the robust passivity and stability analysis of uncertain complex-
valued impulsive neural network (UCVINN) models with time-varying delays. Many practical …

[HTML][HTML] Global Mittag–Leffler stability and stabilization analysis of fractional-order quaternion-valued memristive neural networks

G Rajchakit, P Chanthorn, P Kaewmesri, R Sriraman… - Mathematics, 2020 - mdpi.com
This paper studies the global Mittag–Leffler stability and stabilization analysis of fractional-
order quaternion-valued memristive neural networks (FOQVMNNs). The state feedback …

Extended analysis on the global Mittag-Leffler synchronization problem for fractional-order octonion-valued BAM neural networks

J **ao, X Guo, Y Li, S Wen, K Shi, Y Tang - Neural Networks, 2022 - Elsevier
In this paper, a new case of neural networks called fractional-order octonion-valued
bidirectional associative memory neural networks (FOOVBAMNNs) is established. First, the …

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 …

Novel methods to finite-time Mittag-Leffler synchronization problem of fractional-order quaternion-valued neural networks

J **ao, J Cao, J Cheng, S Zhong, S Wen - Information Sciences, 2020 - Elsevier
This paper proposes two methods to investigate the problem of finite-time Mittag-Leffler
synchronization for the systems of fractional-order quaternion-valued neural networks …

Finite-time nonchattering synchronization of coupled neural networks with multi-weights

LH Zhao, S Wen, Z Guo, K Shi, J **ao… - … on Network Science …, 2023 - ieeexplore.ieee.org
This paper is concerned with finite-time synchronization and finite-time synchronization for
coupled neural networks with multiple state/derivative couplings. Firstly, several sufficient …

[HTML][HTML] Global stability analysis of fractional-order quaternion-valued bidirectional associative memory neural networks

U Humphries, G Rajchakit, P Kaewmesri, P Chanthorn… - Mathematics, 2020 - mdpi.com
We study the global asymptotic stability problem with respect to the fractional-order
quaternion-valued bidirectional associative memory neural network (FQVBAMNN) models in …

[HTML][HTML] Finite-time synchronization of uncertain fractional-order delayed memristive neural networks via adaptive sliding mode control and its application

T Jia, X Chen, L He, F Zhao, J Qiu - Fractal and Fractional, 2022 - mdpi.com
Finite-time synchronization (FTS) of uncertain fractional-order memristive neural networks
(FMNNs) with leakage and discrete delays is studied in this paper, in which the impacts of …