Noise-suppressing zeroing neural network for online solving time-varying matrix square roots problems: A control-theoretic approach

Z Sun, G Wang, L Jin, C Cheng, B Zhang… - Expert Systems with …, 2022 - Elsevier
In this paper, the noise-suppressing zeroing neural network models (NSZNNMs) for online
solving time-varying matrix square roots problems (TVMSRPs) are revisited and redesigned …

A parameter-changing zeroing neural network for solving linear equations with superior fixed-time convergence

L Xiao, Y He, B Liao - Expert Systems with Applications, 2022 - Elsevier
Linear equations (LEs) play an essential role in mathematics. Nevertheless, the vast majority
of fixed-parameter zeroing neural network (ZNN) models are not fast enough to solve LEs …

Prescribed-time convergent and noise-tolerant Z-type neural dynamics for calculating time-dependent quadratic programming

B Liao, Y Wang, W Li, C Peng, Q Xiang - Neural Computing and …, 2021 - Springer
Neural-dynamics methods for solving quadratic programming (QP) have been studied for
decades. The main feature of a neural-dynamics solver is that it can generate a continuous …

A recurrent neural network with predefined-time convergence and improved noise tolerance for dynamic matrix square root finding

W Li, B Liao, L Xiao, R Lu - Neurocomputing, 2019 - Elsevier
Zeroing neural network (ZNN, or termed Zhang neural network after its inventors) is an
effective approach to dynamic matrix square root (DMSR) finding arising in numerous fields …

Accelerating a recurrent neural network to finite-time convergence using a new design formula and its application to time-varying matrix square root

L Xiao - Journal of the Franklin Institute, 2017 - Elsevier
In this paper, a new design formula is presented to accelerate the convergence speed of a
recurrent neural network, and applied to time-varying matrix square root finding in real time …

Robust neural dynamics with adaptive coefficient applied to solve the dynamic matrix square root

C Jiang, C Wu, X Xiao, C Lin - Complex & Intelligent Systems, 2023 - Springer
Zeroing neural networks (ZNN) have shown their state-of-the-art performance on dynamic
problems. However, ZNNs are vulnerable to perturbations, which causes reliability concerns …

Performance enhancing ZNN models for time-variant equality-constraint convex optimization solving: A transition-state based attracting system approach

M Sun, X Li, G Zhong - Expert Systems with Applications, 2024 - Elsevier
This paper presents designs of fixed-time zeroing neural networks (FxZNNs) for solving time-
variant convex optimization problems, especially arising from repetitive motion planning of …

A finite-time convergent Zhang neural network and its application to real-time matrix square root finding

L Xiao - Neural Computing and Applications, 2019 - Springer
In this paper, a finite-time convergent Zhang neural network (ZNN) is proposed and studied
for matrix square root finding. Compared to the original ZNN (OZNN) model, the finite-time …

A nonlinear and noise-tolerant ZNN model solving for time-varying linear matrix equation

X Li, J Yu, S Li, L Ni - Neurocomputing, 2018 - Elsevier
The Zhang neural network (ZNN) has attracted a great deal of interest from a large number
of researchers because of its significant advantage in solving the various time-varying …

A robust zeroing neural network for solving dynamic nonlinear equations and its application to kinematic control of mobile manipulator

J Jin - Complex & Intelligent Systems, 2021 - Springer
Nonlinear phenomena are often encountered in various practical systems, and most of the
nonlinear problems in science and engineering can be simply described by nonlinear …