Stability analysis based on Caputo-type fractional-order quantum neural networks
type: Item
instance of: scholarly article
title: Stability analysis based on Caputo-type fractional-order quantum neural networks
DOI: 10.1155/2021/3820092
author: Yumin Dong
author: Xiang Li
author: Wei Liao
author: Dong Hou
published in: Journal of Function Spaces
publication date: 2021-09-10T00:00:00Z
review text: Summary: In this paper, a quantum neural network with multilayer activation function is proposed by using multilayer Sigmoid function superposition and learning algorithm to adjust quantum interval. On this basis, the quasiuniform stability of fractional quantum neural networks with mixed delays is studied. According to the order of two different cases, the conditions of quasi uniform stability of networks are given by using the techniques of linear matrix inequality analysis, and the sufficiency of the conditions is proved. Finally, the feasibility of the conclusion is verified by experiments.
Mathematics Subject Classification ID: 68Txx
zbMATH DE Number: 7393907
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/3820092
OpenAlex ID: W3175889082
cites work: Fractional order neural networks for system identification
cites work: Fractional-order gradient descent learning of BP neural networks with Caputo derivative
cites work: Different impulsive effects on synchronization of fractional-order memristive BAM neural networks
cites work: Synchronization-based parameter estimation of fractional-order neural networks
cites work: A comment on ``\(\alpha\)-stability and \(\alpha\)-synchronization for fractional-order neural networks''
cites work: Dynamics analysis of fractional-order Hopfield neural networks
cites work: Numerical solutions of wavelet neural networks for fractional differential equations
cites work: Periodic solutions and stationary distribution for a stochastic predator-prey system with impulsive perturbations
cites work: Stationary distribution and extinction of a multi-stage HIV model with nonlinear stochastic perturbation
cites work: Delay independent robust stability analysis of delayed fractional quaternion-valued leaky integrator echo state neural networks with QUAD condition
cites work: Finite-Time Stability of Fractional-Order Neural Networks with Delay
cites work: Delay-dependent stability criterion of Caputo fractional neural networks with distributed delay
Recommended article: Mutiple \(\psi\)-type stability of fractional-order quaternion-valued neural networks
Recommended article: Q2984021
Recommended article: New stability criterion for fractional-order quaternion-valued neural networks involving discrete and leakage delays
Recommended article: Application of fractional theory in quantum back propagation neural network
Recommended article: Hyperchaotic behavior in arbitrary-dimensional fractional-order quantum cellular neural network model
Recommended article: Fractional input stability and its application to neural network
Recommended article: Improved quasiuniform stability for fractional order neural nets with mixed delay
Recommended article: Robust stability analysis of fractional-order Hopfield neural networks with parameter uncertainties
Recommended article: Novel methods to global Mittag-Leffler stability of delayed fractional-order quaternion-valued neural networks
Recommended article: \(\alpha\)-stability of fractional-order Hopfield neural networks
description: scientific article; zbMATH DE number 7393907