Different complex ZFs leading to different complex ZNN models for time-varying complex generalized inverse matrices

B Liao, Y Zhang - IEEE Transactions on Neural Networks and …, 2013 - ieeexplore.ieee.org
As a special class of recurrent neural network, Zhang neural network (ZNN) has been
recently proposed since 2001 for solving various time-varying problems, and has shown …

Characterizations, approximation and perturbations of the core-EP inverse

H Ma, PS Stanimirović - Applied Mathematics and Computation, 2019 - Elsevier
Several characterizations and representations for the core-EP inverse are presented and
investigated. To that goal, several explicit bordering technique for characterizing and …

Harmonic noise-tolerant ZNN for dynamic matrix pseudoinversion and its application to robot manipulator

B Liao, Y Wang, J Li, D Guo, Y He - Frontiers in Neurorobotics, 2022 - frontiersin.org
As we know, harmonic noises widely exist in industrial fields and have a crucial impact on
the computational accuracy of the zeroing neural network (ZNN) model. For tackling this …

Effective algorithms of the Moore-Penrose inverse matrices for extreme learning machine

S Lu, X Wang, G Zhang, X Zhou - Intelligent Data Analysis, 2015 - content.iospress.com
Extreme learning machine (ELM) is a learning algorithm for single-hidden layer feedforward
neural networks (SLFNs) which randomly chooses hidden nodes and analytically …

From different ZFs to different ZNN models accelerated via Li activation functions to finite-time convergence for time-varying matrix pseudoinversion

B Liao, Y Zhang - Neurocomputing, 2014 - Elsevier
In this paper, a special class of recurrent neural network, termed Zhang neural network
(ZNN), is investigated for the online solution of the time-varying matrix pseudoinverse …

A parallel computing method based on zeroing neural networks for time-varying complex-valued matrix Moore-Penrose inversion

X **ao, C Jiang, H Lu, L **, D Liu, H Huang, Y Pan - Information Sciences, 2020 - Elsevier
This paper analyzes the existing zeroing neural network (ZNN) models from the perspective
of control theory. It proposes an exclusive ZNN model for solving the dynamic complex …

An improved method for the computation of the Moore–Penrose inverse matrix

VN Katsikis, D Pappas, A Petralias - Applied Mathematics and …, 2011 - Elsevier
In this article we provide a fast computational method in order to calculate the Moore–
Penrose inverse of singular square matrices and of rectangular matrices. The proposed …

Integration enhanced and noise tolerant ZNN for computing various expressions involving outer inverses

PS Stanimirović, VN Katsikis, S Li - Neurocomputing, 2019 - Elsevier
An integration-enhanced noise-tolerant zeroing neural network (IENTZNN) model for
computing various expressions involving outer inverses is defined and considered. The …

[HTML][HTML] Accurate computation of the Moore–Penrose inverse of strictly totally positive matrices

A Marco, JJ Martínez - Journal of Computational and Applied Mathematics, 2019 - Elsevier
The computation of the Moore–Penrose inverse of structured strictly totally positive matrices
is addressed. Since these matrices are usually very ill-conditioned, standard algorithms fail …

Discrete gradient-zeroing neural dynamics for future Moore–Penrose inverse with application to tracking control of manipulator

W Wu, Y Zhang - Expert Systems with Applications, 2023 - Elsevier
To handle the future Moore–Penrose inverse problem effectively, the continuous gradient-
zeroing neural dynamics (CGZND) model without inverse computing is proposed via …