Design and analysis of a general recurrent neural network model for time-varying matrix inversion

Y Zhang, SS Ge - IEEE Transactions on Neural Networks, 2005 - ieeexplore.ieee.org
Following the idea of using first-order time derivatives, this paper presents a general
recurrent neural network (RNN) model for online inversion of time-varying matrices. Different …

Novel discrete-time Zhang neural network for time-varying matrix inversion

D Guo, Z Nie, L Yan - IEEE Transactions on Systems, Man, and …, 2017 - ieeexplore.ieee.org
In the previous work, Zhang et al. developed a special type of recurrent neural networks
called Zhang neural network (ZNN) with continuous-time and discrete-time forms for time …

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 …

Zhang neural network, Getz–Marsden dynamic system, and discrete-time algorithms for time-varying matrix inversion with application to robots' kinematic control

D Guo, Y Zhang - Neurocomputing, 2012 - Elsevier
In this paper, we present, develop and investigate a special kind of recurrent neural network
termed Zhang neural network (ZNN) for time-varying matrix inversion. Comparing with the …

[图书][B] Zeroing dynamics, gradient dynamics, and Newton iterations

Y Zhang, L Xiao, Z Xiao, M Mao - 2016 - api.taylorfrancis.com
MATLAB® and Simulink® are trademarks of The MathWorks, Inc. and are used with
permission. The MathWorks does not warrant the accuracy of the text or exercises in this …

A novel extended Li zeroing neural network for matrix inversion

D Gerontitis, C Mo, PS Stanimirović, P Tzekis… - Neural Computing and …, 2023 - Springer
An improved activation function, termed extended sign-bi-power (Esbp), is proposed. An
extension of the Li zeroing neural network (ELi-ZNN) based on the Esbp activation is …

Solving time-varying nonsymmetric algebraic Riccati equations with zeroing neural dynamics

TE Simos, VN Katsikis, SD Mourtas… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
The problem of solving algebraic Riccati equations (AREs) and certain linear matrix
equations which arise from the ARE frequently occur in applied and pure mathematics …

Revisit the analog computer and gradient-based neural system for matrix inversion

Y Zhang - Proceedings of the 2005 IEEE International …, 2005 - ieeexplore.ieee.org
As inspired by revising (Zhang and Ge, 2003), the traditional gradient-based neural system
(also termed analog computer (Manherz et al., 1968)) for matrix inversion is re-visited by …

Global exponential convergence and stability of gradient-based neural network for online matrix inversion

Y Zhang, Y Shi, K Chen, C Wang - Applied Mathematics and Computation, 2009 - Elsevier
Wang proposed a gradient-based neural network (GNN) to solve online matrix-inverses.
Global asymptotical convergence was shown for such a neural network when applied to …

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) …