Global Mittag-Leffler stability and synchronization of discrete-time fractional-order complex-valued neural networks with time delay

X You, Q Song, Z Zhao - Neural Networks, 2020 - Elsevier
Without decomposing complex-valued systems into real-valued systems, this paper
investigates existence, uniqueness, global Mittag-Leffler stability and global Mittag-Leffler …

Mittag‐Leffler stability and adaptive impulsive synchronization of fractional order neural networks in quaternion field

A Pratap, R Raja, J Alzabut, J Cao… - … Methods in the …, 2020 - Wiley Online Library
Fractional order quaternion‐valued neural networks are a type of fractional order neural
networks for which neuron state, synaptic connection strengths, and neuron activation …

Global Mittag-Leffler synchronization of discrete-time fractional-order neural networks with time delays

XL Zhang, HL Li, Y Kao, L Zhang, H Jiang - Applied Mathematics and …, 2022 - Elsevier
In this article, the problem of the global Mittag-Leffler synchronization is proposed for a sort
of discrete-time fractional-order neural networks (DFNNs) with delays. In the first place, a …

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 …

Adaptive fuzzy feedback controller design for finite-time Mittag-Leffler synchronization of fractional-order quaternion-valued reaction-diffusion fuzzy molecular …

G Narayanan, MS Ali, MI Alam, G Rajchakit… - IEEE …, 2021 - ieeexplore.ieee.org
This paper addresses an adaptive fuzzy feedback controller design problem for finite-time
Mittag-Leffler synchronization (FTMLS) of fractional-order quaternion-valued reaction …

Quasi-projective synchronization of discrete-time fractional-order quaternion-valued neural networks

M Zhao, HL Li, L Zhang, C Hu, H Jiang - Journal of the Franklin Institute, 2023 - Elsevier
In this article, without decomposing the quaternion-valued neural networks (QVNNs) into two
complex-valued subsystems or four real-valued subsystems, quasi-projective …

Quasi-state estimation and quasi-synchronization control of quaternion-valued fractional-order fuzzy memristive neural networks: Vector ordering approach

R Li, X Gao, J Cao - Applied Mathematics and Computation, 2019 - Elsevier
This paper is dedicated to investigate the quasi-estimation and quasi-synchronization
control of the fractional-order fuzzy memristive neural networks. By starting from the …

Passivity analysis of fractional-order neural networks with time-varying delay based on LMI approach

NH Sau, MV Thuan, NTT Huyen - Circuits, Systems, and Signal …, 2020 - Springer
In this paper, we study the problem of passivity analysis of fractional-order neural networks
(FONNs) with a time-varying delay. By using the Razumikhin fractional-order theorem, we …

Quasi-synchronization of heterogenous fractional-order dynamical networks with time-varying delay via distributed impulsive control

F Wang, Z Zheng, Y Yang - Chaos, Solitons & Fractals, 2021 - Elsevier
This paper investigates the quasi-synchronization problem of a heterogeneous dynamical
network. All nodes have fractional order dynamical behavior with time-varying delay. The …

Boundary Mittag-Leffler stabilization of fractional reaction–diffusion cellular neural networks

XZ Liu, ZT Li, KN Wu - Neural Networks, 2020 - Elsevier
Mittag-Leffler stabilization is studied for fractional reaction–diffusion cellular neural networks
(FRDCNNs) in this paper. Different from previous literature, the FRDCNNs in this paper are …