Title
Gmds-Znn Variants Having Errors Proportional To Sampling Gap As Compared With Models 1 And 2 Having Higher Precision
Abstract
In this paper, variants of Getz-Marsden dynamic system (GMDS) and Zhang neural network (ZNN), i.e., GMDS-ZNN variants, are proposed and discretized by different discretization formulas, i.e., discretized by Euler forward formula, Taylor-Zhang discretization formula and ZD5i (Zhang discretization with 5 instants) formula. In order to investigate the proposed GMDS-ZNN variants, we conduct numerical experiments, As comparisons, conventional dynamic systems GMDS1 and GMDS2 (which are proved to have higher precision) are presented. Numerical results show that these discrete GMDS-ZNN variants have fixed error pattern when computing time-dependent complex matrix inverse. The error pattern is confirmed as being proportional to sampling gap.
Year
DOI
Venue
2018
10.1109/ICSAI.2018.8599354
2018 5TH INTERNATIONAL CONFERENCE ON SYSTEMS AND INFORMATICS (ICSAI)
Keywords
Field
DocType
GMDS-ZNN variants, Discretization formulas, Complex matrix inverse, Zhang discretization with 5 instants
Applied mathematics,Complex matrix,Inverse,Discretization,Zhang neural network,Computer science,Control theory,Euler's formula,Sampling (statistics),Zhàng,Dynamical system
Conference
ISSN
Citations 
PageRank 
2474-0217
0
0.34
References 
Authors
0
5
Name
Order
Citations
PageRank
Jian Li1495.48
Guofu Wu263.18
Chumin Li300.34
Mengling Xiao400.34
Yunong Zhang52344162.43