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 Li | 1 | 49 | 5.48 |
Guofu Wu | 2 | 6 | 3.18 |
Chumin Li | 3 | 0 | 0.34 |
Mengling Xiao | 4 | 0 | 0.34 |
Yunong Zhang | 5 | 2344 | 162.43 |