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 …

A variable-parameter noise-tolerant zeroing neural network for time-variant matrix inversion with guaranteed robustness

L Xiao, Y He, J Dai, X Liu, B Liao… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
Matrix inversion frequently occurs in the fields of science, engineering, and related fields.
Numerous matrix inversion schemes are often based on the premise that the solution …

Integration-enhanced Zhang neural network for real-time-varying matrix inversion in the presence of various kinds of noises

L Jin, Y Zhang, S Li - IEEE transactions on neural networks and …, 2015 - ieeexplore.ieee.org
Matrix inversion often arises in the fields of science and engineering. Many models for matrix
inversion usually assume that the solving process is free of noises or that the denoising has …

Performance analysis of nonlinear activated zeroing neural networks for time-varying matrix pseudoinversion with application

Z Hu, L Xiao, K Li, K Li, J Li - Applied Soft Computing, 2021 - Elsevier
By exploiting two simplified nonlinear activation functions, two zeroing neural network (ZNN)
models are designed and studied to efficiently tackle the time-varying matrix …

Comprehensive analysis of a new varying parameter zeroing neural network for time varying matrix inversion

L Xiao, Y Zhang, J Dai, Q Zuo… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
The matrix inversion problem plays a very important role in mathematics as well as practical
engineering applications. In this article, unlike the traditional fixed-parameter zeroing neural …

New error function designs for finite-time ZNN models with application to dynamic matrix inversion

L Xiao, H Tan, L Jia, J Dai, Y Zhang - Neurocomputing, 2020 - Elsevier
The zeroing neural network (ZNN), as a special kind of recurrent neural network (RNN), is
often utilized to solve dynamic matrix inversion problems in the many fields recently. In this …

Double accelerated convergence ZNN with noise-suppression for handling dynamic matrix inversion

Y He, B Liao, L Xiao, L Han, X Xiao - Mathematics, 2021 - mdpi.com
Matrix inversion is commonly encountered in the field of mathematics. Therefore, many
methods, including zeroing neural network (ZNN), are proposed to solve matrix inversion …

A robust predefined-time convergence zeroing neural network for dynamic matrix inversion

J Jin, J Zhu, L Zhao, L Chen, L Chen… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
As a classical and effective method for solving various time-varying problems, the zeroing
neural network (ZNN) is widely applied in the scientific and industrial realms. In plentiful …

A novel recurrent neural network-based ultra-fast, robust, and scalable solver for inverting a “time-varying matrix”

V Tavakkoli, JC Chedjou, K Kyamakya - Sensors, 2019 - mdpi.com
The concept presented in this paper is based on previous dynamical methods to realize a
time-varying matrix inversion. It is essentially a set of coupled ordinary differential equations …

A fixed-time convergent and noise-tolerant zeroing neural network for online solution of time-varying matrix inversion

J Jin, J Zhu, L Zhao, L Chen - Applied Soft Computing, 2022 - Elsevier
As a common mathematical operation, the time-varying matrix inversion (TVMI) is frequently
arisen in many complex problems. It has been proved in a large number of studies that the …