Zhang neural network versus gradient-based neural network for time-varying linear matrix equation solving

D Guo, C Yi, Y Zhang - Neurocomputing, 2011 - Elsevier
A type of recurrent neural networks called Zhang neural network (ZNN) is presented and
investigated to provide an online solution to the time-varying linear matrix equation, A (t) X (t) …

Comparison on Zhang neural network and gradient neural network for time-varying linear matrix equation AXB= C solving

Y Zhang, K Chen - 2008 IEEE International Conference on …, 2008 - ieeexplore.ieee.org
For solving online the linear matrix equation AXB= C with time-varying coefficients, this
paper presents a special kind of recurrent neural networks by using a design method …

A nonlinear and noise-tolerant ZNN model solving for time-varying linear matrix equation

X Li, J Yu, S Li, L Ni - Neurocomputing, 2018 - Elsevier
The Zhang neural network (ZNN) has attracted a great deal of interest from a large number
of researchers because of its significant advantage in solving the various time-varying …

From different Zhang functions to various ZNN models accelerated to finite-time convergence for time-varying linear matrix equation

L Xiao, Y Zhang - Neural processing letters, 2014 - Springer
In addition to the parallel-distributed nature, recurrent neural networks can be implemented
physically by designated hardware and thus have been found broad applications in many …

An adaptive gradient neural network to solve dynamic linear matrix equations

S Liao, J Liu, Y Qi, H Huang, R Zheng… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
In this article, the existing approaches, including numerical algorithms as well as neural
networks to solve dynamic linear matrix equations, have been presented and reviewed …

An improved finite time convergence recurrent neural network with application to time-varying linear complex matrix equation solution

J Jin - Neural Processing Letters, 2021 - Springer
Linear matrix equation (LME) is a kind of very important mathematical equation, and many
practical problems in scientific and engineering fields can be described by LMEs in …

Superior performance of using hyperbolic sine activation functions in ZNN illustrated via time-varying matrix square roots finding

Y Zhang, L Jin, Z Ke - Computer Science and Information Systems, 2012 - doiserbia.nb.rs
A special class of recurrent neural network (RNN), termed Zhang neural network (ZNN)
depicted in the implicit dynamics, has recently been proposed for online solution of time …

Zhang neural network for linear time-varying equation solving and its robotic application

YN Zhang, HF Peng - 2007 International conference on …, 2007 - ieeexplore.ieee.org
Different from gradient-based neural networks, a special kind of recurrent neural network
has been proposed by Zhang et al for real-time matrix inversion. In this paper, we generalize …

Improved Zhang neural network model and its solution of time-varying generalized linear matrix equations

Z Li, Y Zhang - Expert Systems with Applications, 2010 - Elsevier
In this paper, a class of Zhang neural networks (ZNNs) are developed and analyzed on
convergence properties. Different from conventional gradient-based neural networks …

A novel recurrent neural network and its finite-time solution to time-varying complex matrix inversion

L Xiao, Y Zhang, K Li, B Liao, Z Tan - Neurocomputing, 2019 - Elsevier
A complex-valued nonlinear recurrent neural network is designed and researched for time-
varying matrix inversion solving in complex field. Unlike the design methods of the …