Gmds-Znn Variants Having Errors Proportional To Sampling Gap As Compared With Models 1 And 2 Having Higher Precision
2018 5TH INTERNATIONAL CONFERENCE ON SYSTEMS AND INFORMATICS (ICSAI)(2018)
摘要
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.
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关键词
GMDS-ZNN variants, Discretization formulas, Complex matrix inverse, Zhang discretization with 5 instants
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