MATLAB simulation of gradient-based neural network for online matrix inversion

Y Zhang, K Chen, W Ma, XD Li - … and Applications. With Aspects of Artificial …, 2007 - Springer
This paper investigates the simulation of a gradient-based recurrent neural network for
online solution of the matrix-inverse problem. Several important techniques are employed as …

Convergence analysis of Zhang neural networks solving time-varying linear equations but without using time-derivative information

Y Zhang, Y Shi, Y Yang, Z Ke - IEEE ICCA 2010, 2010 - ieeexplore.ieee.org
For online solution of time-varying linear equations, a special kind of recurrent neural
networks has recently been proposed by Zhang et al. It has been proved that global …

Modeling and simulation of Zhang neural network for online linear time-varying equations solving based on MATLAB Simulink

YN Zhang, XJ Guo, WM Ma - 2008 International Conference on …, 2008 - ieeexplore.ieee.org
Recently, a general recurrent neural network (RNN) with implicit dynamics has been
proposed by Zhang et al for online time-varying algebraic equations solving; namely Zhang …

Transfer function computation for generalized n-dimensional systems

GE Antoniou - Journal of the Franklin Institute, 2001 - Elsevier
A new algorithm is presented for the determination of the coefficients of an n-dimensional
(nD) transfer function. The nD state-space system is described by the nD Fornasini …

Decomposition of Third-Order Symbolic Tensors for Outer Inverse Computation

B Karmakar, K Panigrahy - 2024 - researchsquare.com
In symbolic computation, variables are stored as exact without numerical values to ensure
precision throughout the calculations, which makes it an important area in computer algebra …

[PDF][PDF] Second-order Generalized Systems: The DFT Algorithm for Computing the Transfer Function

G Antoniou - WSEAS Trans. on Circuits, 2002 - researchgate.net
In this paper the discrete Fourier transform (DFT) is applied for determining the transfer
function coefficients for second {order generalized state space linear systems, Ex (2)= A1x+ …

From Penrose Equations to Zhang Neural Network, Getz–Marsden Dynamic System, and DDD (Direct Derivative Dynamics) Using Substitution Technique

D Wu, Y Zhang - Discrete Dynamics in Nature and Society, 2021 - Wiley Online Library
The time‐variant matrix inversion (TVMI) problem solving is the hotspot of current research
because of its frequent appearance and application in scientific research and industrial …

A new approach of analyzing time-varying dynamical equation via an optimal principle

H Zhao, L Li, H Peng, J Kurths, J Xiao… - … Physics Letters B, 2017 - World Scientific
In this paper, an innovative design approach is proposed to solve time-varying dynamical
equation, including matrix inverse equation and Sylvester equation. Based on the …

New algorithms for the derivation of the transfer-function matrices of 2-D state-space discrete systems

H Luo, WS Lu, A Antoniou - IEEE Transactions on Circuits and …, 1997 - ieeexplore.ieee.org
New algorithms for the derivation of the transfer-function matrices of two-dimensional (2-D)
discrete systems from the Roesser and Fornasini-Marchesini state-space models are …

Finite-time convergence analysis and verification of improved ZNN for real-time matrix inversion

L Xiao, S Ding, M Mao, Y Zhang… - 2014 4th IEEE …, 2014 - ieeexplore.ieee.org
An improved Zhang neural network (IZNN) together with its implementation architecture is
presented and investigated for matrix inversion in real time. It is theoretically proved that the …