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 …

[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 …

Gradient neural dynamics for solving matrix equations and their applications

PS Stanimirović, MD Petković - Neurocomputing, 2018 - Elsevier
We are concerned with the solution of the matrix equation AXB= D in real time by means of
the gradient based neural network (GNN) model, called GNN (A, B, D). The convergence …

[HTML][HTML] Neural network approach for solving nonsingular multi-linear tensor systems

X Wang, M Che, Y Wei - Journal of Computational and Applied …, 2020 - Elsevier
The main propose of this paper is to develop two neural network models for solving
nonsingular multi-linear tensor system. Theoretical analysis shows that each of the neural …

Integration enhanced and noise tolerant ZNN for computing various expressions involving outer inverses

PS Stanimirović, VN Katsikis, S Li - Neurocomputing, 2019 - Elsevier
An integration-enhanced noise-tolerant zeroing neural network (IENTZNN) model for
computing various expressions involving outer inverses is defined and considered. The …

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 noise-tolerant fast convergence ZNN for dynamic matrix inversion

J Jin, J Gong - International Journal of Computer Mathematics, 2021 - Taylor & Francis
In this paper, a noise-tolerant fast convergence zeroing neural network (NTFCZNN)
adopting a new power-versatile activation function (PVAF) is proposed and analyzed for …

Hybrid GNN-ZNN models for solving linear matrix equations

PS Stanimirović, VN Katsikis, S Li - Neurocomputing, 2018 - Elsevier
New dynamical models for solving the matrix equations BX= D and XC= D are developed in
time-invariant case. These models are derived as a combination of GNN and ZNN models …

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 …

Modified gradient dynamic approach to the tensor complementarity problem

X Wang, M Che, L Qi, Y Wei - Optimization Methods and Software, 2020 - Taylor & Francis
Nonlinear gradient dynamic approach for solving the tensor complementarity problem (TCP)
are presented. Theoretical analysis shows that each of the defined dynamical system …