Accelerating a recurrent neural network to finite-time convergence for solving time-varying Sylvester equation by using a sign-bi-power activation function

S Li, S Chen, B Liu - Neural processing letters, 2013 - Springer
Bartels–Stewart algorithm is an effective and widely used method with an O (n 3) time
complexity for solving a static Sylvester equation. When applied to time-varying Sylvester …

A new varying-parameter recurrent neural-network for online solution of time-varying Sylvester equation

Z Zhang, L Zheng, J Weng, Y Mao… - IEEE transactions on …, 2018 - ieeexplore.ieee.org
Solving Sylvester equation is a common algebraic problem in mathematics and control
theory. Different from the traditional fixed-parameter recurrent neural networks, such as …

Performance analysis of gradient neural network exploited for online time-varying matrix inversion

Y Zhang, K Chen, HZ Tan - IEEE Transactions on Automatic …, 2009 - ieeexplore.ieee.org
This technical note presents theoretical analysis and simulation results on the performance
of a classic gradient neural network (GNN), which was designed originally for constant …

GNN model for time-varying matrix inversion with robust finite-time convergence

Y Zhang, S Li, J Weng, B Liao - IEEE Transactions on Neural …, 2022 - ieeexplore.ieee.org
As a type of recurrent neural networks (RNNs) modeled as dynamic systems, the gradient
neural network (GNN) is recognized as an effective method for static matrix inversion with …

Comparison on Zhang neural dynamics and gradient-based neural dynamics for online solution of nonlinear time-varying equation

Y Zhang, C Yi, D Guo, J Zheng - Neural Computing and Applications, 2011 - Springer
Different from gradient-based neural dynamics, a special kind of recurrent neural dynamics
has recently been proposed by Zhang et al. for solving online time-varying problems. Such a …

From Zhang neural network to Newton iteration for matrix inversion

Y Zhang, W Ma, B Cai - … Transactions on Circuits and Systems I …, 2008 - ieeexplore.ieee.org
Different from gradient-based neural networks, a special kind of recurrent neural network
(RNN) has recently been proposed by Zhang for online matrix inversion. Such an RNN is …

[HTML][HTML] An interference-tolerant fast convergence zeroing neural network for dynamic matrix inversion and its application to mobile manipulator path tracking

J Jin, J Gong - Alexandria Engineering Journal, 2021 - Elsevier
In this paper, a new interference-tolerant fast convergence zeroing neural network
(ITFCZNN) using a novel activation function (NAF) for solving dynamic matrix inversion …

Zhang neural network solving for time-varying full-rank matrix Moore–Penrose inverse

Y Zhang, Y Yang, N Tan, B Cai - Computing, 2011 - Springer
Zhang neural networks (ZNN), a special kind of recurrent neural networks (RNN) with
implicit dynamics, have recently been introduced to generalize to the solution of online time …

Energy-efficient hybrid analog/digital approximate computation in continuous time

N Guo, Y Huang, T Mai, S Patil, C Cao… - IEEE Journal of Solid …, 2016 - ieeexplore.ieee.org
We present a unit that performs continuous-time hybrid approximate computation, in which
both analog and digital signals are functions of continuous time. Our 65 nm CMOS prototype …

New varying-parameter ZNN models with finite-time convergence and noise suppression for time-varying matrix Moore–Penrose inversion

Z Tan, W Li, L Xiao, Y Hu - IEEE transactions on neural …, 2019 - ieeexplore.ieee.org
This article aims to solve the Moore-Penrose inverse of time-varying full-rank matrices in the
presence of various noises in real time. For this purpose, two varying-parameter zeroing …