Zhang Neural Networks for Online Solution of Time-Varying Linear Inequalities

Simulink Modeling and Comparison of Zhang Neural Networks and Gradient Neural Networks for Time-Varying Lyapunov Equation Solving

2008 Fourth International Conference on Natural Computation ◽

10.1109/icnc.2008.47 ◽

2008 ◽

Cited By ~ 8

Author(s):

Yunong Zhang ◽

Ke Chen ◽

Xuezhong Li ◽

Chengfu Yi ◽

Hong Zhu

Keyword(s):

Neural Networks ◽

Lyapunov Equation ◽

Time Varying ◽

Equation Solving ◽

Zhang Neural Networks

Two New Zhang Neural Networks for Solving Time-Varying Linear Equations and Inequalities Systems

IEEE Transactions on Neural Networks and Learning Systems ◽

10.1109/tnnls.2021.3126114 ◽

2021 ◽

pp. 1-9

Author(s):

Wenqi Wu ◽

Bing Zheng

Keyword(s):

Neural Networks ◽

Linear Equations ◽

Time Varying ◽

Zhang Neural Networks

Convergence analysis of Zhang neural networks solving time-varying linear equations but without using time-derivative information

IEEE ICCA 2010 ◽

10.1109/icca.2010.5524148 ◽

2010 ◽

Cited By ~ 5

Author(s):

Yunong Zhang ◽

Yanyan Shi ◽

Yiwen Yang ◽

Zhende Ke

Keyword(s):

Neural Networks ◽

Convergence Analysis ◽

Linear Equations ◽

Time Derivative ◽

Time Varying ◽

Derivative Information ◽

Zhang Neural Networks

Noise-tolerant continuous-time Zhang neural networks for time-varying Sylvester tensor equations

Advances in Difference Equations ◽

10.1186/s13662-019-2406-8 ◽

2019 ◽

Vol 2019 (1) ◽

Cited By ~ 1

Author(s):

Sun Min ◽

Liu Jing

Keyword(s):

Neural Networks ◽

Continuous Time ◽

Time Derivative ◽

Time Varying ◽

Gradient Based ◽

Noise Tolerant ◽

Derivative Information ◽

Residual Errors ◽

Theoretical Analyses ◽

Zhang Neural Networks

Abstract In this paper, to solve the time-varying Sylvester tensor equations (TVSTEs) with noise, we will design three noise-tolerant continuous-time Zhang neural networks (NTCTZNNs), termed NTCTZNN1, NTCTZNN2, NTCTZNN3, respectively. The most important characteristic of these neural networks is that they make full use of the time-derivative information of the TVSTEs’ coefficients. Theoretical analyses show that no matter how large the unknown noise is, the residual error generated by NTCTZNN2 converges globally to zero. Meanwhile, as long as the design parameter is large enough, the residual errors generated by NTCTZNN1 and NTCTZNN3 can be arbitrarily small. For comparison, the gradient-based neural network (GNN) is also presented and analyzed to solve TVSTEs. Numerical examples and results demonstrate the efficacy and superiority of the proposed neural networks.

Simulation and Verification of Zhang Neural Networks and Gradient Neural Networks for Time-Varying Stein Equation Solving

Advances in Neural Networks – ISNN 2011 - Lecture Notes in Computer Science ◽

10.1007/978-3-642-21105-8_45 ◽

2011 ◽

pp. 385-392 ◽

Cited By ~ 1

Author(s):

Chenfu Yi ◽

Yuhuan Chen ◽

Huajin Wang

Keyword(s):

Neural Networks ◽

Time Varying ◽

Equation Solving ◽

Stein Equation ◽

Zhang Neural Networks

Modeling and Verification of Zhang Neural Networks for Online Solution of Time-Varying Quadratic Minimization and Programming

Advances in Computation and Intelligence - Lecture Notes in Computer Science ◽

10.1007/978-3-642-04843-2_12 ◽

2009 ◽

pp. 101-110

Author(s):

Yunong Zhang ◽

Xuezhong Li ◽

Zhan Li

Keyword(s):

Neural Networks ◽

Time Varying ◽

Quadratic Minimization ◽

Zhang Neural Networks

Two New Types of Zhang Neural Networks Solving Systems of Time-Varying Nonlinear Inequalities

IEEE Transactions on Circuits and Systems I Regular Papers ◽

10.1109/tcsi.2012.2188944 ◽

2012 ◽

Vol 59 (10) ◽

pp. 2363-2373 ◽

Cited By ~ 48

Author(s):

Lin Xiao ◽

Yunong Zhang

Keyword(s):

Neural Networks ◽

Time Varying ◽

Zhang Neural Networks

Solving time-varying linear inequalities by finite-time convergent zeroing neural networks

Journal of the Franklin Institute ◽

10.1016/j.jfranklin.2020.06.004 ◽

2020 ◽

Vol 357 (12) ◽

pp. 8137-8155

Author(s):

Yuejie Zeng ◽

Lin Xiao ◽

Kenli Li ◽

Qiuyue Zuo ◽

Keqin Li

Keyword(s):

Neural Networks ◽

Finite Time ◽

Linear Inequalities ◽

Time Varying

Time-varying generalized tensor eigenanalysis via Zhang neural networks

Neurocomputing ◽

10.1016/j.neucom.2020.04.115 ◽

2020 ◽

Vol 407 ◽

pp. 465-479

Author(s):

Changxin Mo ◽

Xuezhong Wang ◽

Yimin Wei

Keyword(s):

Neural Networks ◽

Time Varying ◽

Zhang Neural Networks

Solving time-varying quadratic programs based on finite-time Zhang neural networks and their application to robot tracking

Neural Computing and Applications ◽

10.1007/s00521-014-1744-4 ◽

2014 ◽

Vol 26 (3) ◽

pp. 693-703 ◽

Cited By ~ 44

Author(s):

Peng Miao ◽

Yanjun Shen ◽

Yuehua Huang ◽

Yan-Wu Wang

Keyword(s):

Neural Networks ◽

Finite Time ◽

Time Varying ◽

Quadratic Programs ◽

Robot Tracking ◽

Zhang Neural Networks