Title
A novel recurrent neural network and its finite-time solution to time-varying complex matrix inversion.
Abstract
A complex-valued nonlinear recurrent neural network is designed and researched for time-varying matrix inversion solving in complex field. Unlike the design methods of the conventional gradient neural network (CGNN) and the previous Zhang neural network (ZNN), the proposed complex-valued nonlinear recurrent neural network (CVNRNN) model is established on basis of a nonlinear evolution formula and possesses a better finite-time convergence Besides, the detailed theoretical analysis provides a guarantee for the finite-time convergence achievement of the CVNRNN model. In addition, the theoretical analysis is also verified by numerical simulations, which comparatively show that the proposed CVNRNN model is faster and more accurate than the ZNN model and the CGNN model in solving time-varying complex matrix inversion.
Year
DOI
Venue
2019
10.1016/j.neucom.2018.11.071
Neurocomputing
Keywords
Field
DocType
Complex matrix inversion,Zhang neural network,Nonlinear evolution formula,Finite-time convergence
Convergence (routing),Complex matrix,Nonlinear system,Pattern recognition,Matrix (mathematics),Inversion (meteorology),Algorithm,Recurrent neural network,Artificial intelligence,Artificial neural network,Mathematics,Finite time
Journal
Volume
ISSN
Citations 
331
0925-2312
3
PageRank 
References 
Authors
0.38
26
5
Name
Order
Citations
PageRank
Lin Xiao19415.07
Yongsheng Zhang220443.58
Kenli Li354058.66
Bolin Liao428118.70
Zhiguo Tan5564.40