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 …

[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 …

A predefined fixed-time convergence ZNN and its applications to time-varying quadratic programming solving and dual-arm manipulator cooperative trajectory …

J Jin, W Chen, C Chen, L Chen, Z Tang… - IEEE Transactions …, 2022 - ieeexplore.ieee.org
The zeroing neural network (ZNN) model, a powerful approach for addressing time-varying
problems, has been extensively applied in the calculation and optimization fields. In this …

Power-type varying-parameter RNN for solving TVQP problems: Design, analysis, and applications

Z Zhang, LD Kong, L Zheng - IEEE transactions on neural …, 2018 - ieeexplore.ieee.org
Many practical problems can be solved by being formulated as time-varying quadratic
programing (TVQP) problems. In this paper, a novel power-type varying-parameter recurrent …

A convergence-accelerated Zhang neural network and its solution application to Lyapunov equation

L Xiao, B Liao - Neurocomputing, 2016 - Elsevier
Lyapunov equation is widely encountered in scientific and engineering fields, and especially
used in the control community to analyze the stability of a control system. In this paper, a …

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 fuzzy adaptive zeroing neural network with superior finite-time convergence for solving time-variant linear matrix equations

J Dai, P Tan, X Yang, L Xiao, L Jia, Y He - Knowledge-Based Systems, 2022 - Elsevier
Zeroing neural network (ZNN) has a wide application in various fields, which is a very
important and novel type of recurrent neural network (RNN). To deepen and expand the …

Finite-time and predefined-time convergence design for zeroing neural network: Theorem, method, and verification

L Xiao, Y Cao, J Dai, L Jia, H Tan - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
This article is primarily concerned with finite-time convergence (FTC) and predefined-time
convergence (PTC) design for a class of general zeroing neural network (ZNN) by …

Design and analysis of recurrent neural network models with non‐linear activation functions for solving time‐varying quadratic programming problems

X Zhang, L Chen, S Li, P Stanimirović… - CAAI Transactions …, 2021 - Wiley Online Library
A special recurrent neural network (RNN), that is the zeroing neural network (ZNN), is
adopted to find solutions to time‐varying quadratic programming (TVQP) problems with …

Neural networks based approach solving multi-linear systems with M-tensors

X Wang, M Che, Y Wei - Neurocomputing, 2019 - Elsevier
In this paper, we propose continuous time neural network and modified continuous time
neural networks for solving a multi-linear system with M-tensors. Theoretically, we prove that …