Dynamic neural network models for time-varying problem solving: a survey on model structures

C Hua, X Cao, Q Xu, B Liao, S Li - IEEE Access, 2023 - ieeexplore.ieee.org
In recent years, neural networks have become a common practice in academia for handling
complex problems. Numerous studies have indicated that complex problems can generally …

A robust and fixed-time zeroing neural dynamics for computing time-variant nonlinear equation using a novel nonlinear activation function

F Yu, L Liu, L Xiao, K Li, S Cai - Neurocomputing, 2019 - Elsevier
Nonlinear activation functions play an important role in zeroing neural network (ZNN), and it
has be proved that ZNN can achieve finite-time convergence when the sign-bi-power (SBP) …

RNN for solving time-variant generalized Sylvester equation with applications to robots and acoustic source localization

L Jin, J Yan, X Du, X Xiao, D Fu - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
A generalized Sylvester equation is a special formulation containing the Sylvester equation,
the Lyapunov equation and the Stein equation, which is often encountered in various fields …

Design and analysis of FTZNN applied to the real-time solution of a nonstationary Lyapunov equation and tracking control of a wheeled mobile manipulator

L Xiao, B Liao, S Li, Z Zhang, L Ding… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
The Lyapunov equation is widely employed in the engineering field to analyze stability of
dynamic systems. In this paper, based on a new evolution formula, a novel finite-time …

Tracking control of robot manipulators with unknown models: A jacobian-matrix-adaption method

D Chen, Y Zhang, S Li - IEEE Transactions on Industrial …, 2017 - ieeexplore.ieee.org
Tracking control of robot manipulators is a fundamental and significant problem in robotic
industry. As a conventional solution, the Jacobian-matrix-pseudo-inverse (JMPI) method …

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 …

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 …

Model-free control and intelligent PID controllers: towards a possible trivialization of nonlinear control?

M Fliess - IFAC Proceedings Volumes, 2009 - Elsevier
We are introducing a model-free control and a control with a restricted model for finite-
dimensional complex systems. This control design may be viewed as a contribution to …

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 …

[HTML][HTML] Zeroing neural networks: A survey

L Jin, S Li, B Liao, Z Zhang - Neurocomputing, 2017 - Elsevier
Using neural networks to handle intractability problems and solve complex computation
equations is becoming common practices in academia and industry. It has been shown that …