Computing Time-Varying ML-Weighted Pseudoinverse by the Zhang Neural Networks

2020 ◽  
pp. 1-22
Author(s):  
Sanzheng Qiao ◽  
Yimin Wei ◽  
Xuxin Zhang
Keyword(s):  
Neural Networks ◽  
Computing Time ◽  
Time Varying ◽  
Weighted Pseudoinverse ◽  
Zhang Neural Networks

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

2019 ◽  
Vol 2019 (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.

Time-varying generalized tensor eigenanalysis via Zhang neural networks

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

2014 ◽  
Vol 26 (3) ◽  
pp. 693-703 ◽  
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
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