Title
Design and Analysis of a Hybrid GNN-ZNN Model With a Fuzzy Adaptive Factor for Matrix Inversion
Abstract
Motivated from the convergence capability achieved by gradient neural network (GNN) and zeroing neural network (ZNN) for matrix inversion, in this article, a novel hybrid GNN-ZNN (H-GNN-ZNN) model is proposed by introducing a fuzzy adaptive control strategy to generate a fuzzy adaptive factor that can change its size adaptively according to the residual error. Due to its fuzzy adaptability, this novel model is called the fuzzy adaptive GNN-ZNN (FA-GNN-ZNN) model for presentation convenience. We prove that the FA-GNN-ZNN model has the better performance than the existing H-GNN-ZNN model under the same conditions. In addition, different activation functions are applied to the FA-GNN-ZNN model to improve its performance further, and the corresponding theoretical analysis is given. Finally, comparative simulation results demonstrate the validity and superiority of the FA-GNN-ZNN model for matrix inversion.
Year
DOI
Venue
2022
10.1109/TII.2021.3093115
IEEE Transactions on Industrial Informatics
Keywords
DocType
Volume
Adaptive fuzzy control,hybrid GNN-ZNN model,Lyapunov theory,matrix inverse
Journal
18
Issue
ISSN
Citations 
4
1551-3203
0
PageRank 
References 
Authors
0.34
0
5
Name
Order
Citations
PageRank
Jianhua Dai189651.62
Yuanmeng Chen200.34
Lin Xiao39415.07
Lei Jia4103.82
Yongjun He500.68