Title
A Noise-Tolerant Zeroing Neural Network for Time-Dependent Complex Matrix Inversion Under Various Kinds of Noises
Abstract
Complex-valued time-dependent matrix inversion (TDMI) is extensively exploited in practical industrial and engineering fields. Many current neural models are presented to find the inverse of a matrix in an ideal noise-free environment. However, the outer interferences are normally believed to be ubiquitous and avoidable in practice. If these neural models are applied to complex-valued TDMI in a noise environment, they need to take a lot of precious time to deal with outer noise disturbances in advance. Thus, a noise-suppression model is urgent to be proposed to address this problem. In this article, a complex-valued noise-tolerant zeroing neural network (CVNTZNN) on the basis of an integral-type design formula is established and investigated for finding complex-valued TDMI under a wide variety of noises. Furthermore, both convergence and robustness of the CVNTZNN model are carefully analyzed and rigorously proved. For comparison and verification purposes, the existing zeroing neural network (ZNN) and gradient neural network (GNN) have been presented to address the same problem under the same conditions. Numerical simulation consequences demonstrate the effectiveness and excellence of the proposed CVNTZNN model for complex-valued TDMI under various kinds of noises, by comparing the existing ZNN and GNN models.
Year
DOI
Venue
2020
10.1109/TII.2019.2936877
IEEE Transactions on Industrial Informatics
Keywords
DocType
Volume
Neural networks,Analytical models,Convergence,Numerical models,Informatics,Robustness,Hardware
Journal
16
Issue
ISSN
Citations 
6
1551-3203
3
PageRank 
References 
Authors
0.37
0
6
Name
Order
Citations
PageRank
Lin Xiao156242.84
Yongsheng Zhang220443.58
Qiuyue Zuo3103.16
Jianhua Dai489651.62
Jichun Li529144.32
Wensheng Tang66214.60