Discrete-time Chen Series for Time Discretization and Machine Learning

被引：1
作者：
Gray, W. Steven [1 ]
Venkatesh, G. S. [1 ]
Espinosa, Luis A. Duffaut [2 ]
机构：
[1] Old Dominion Univ, Dept Elect & Comp Engn, Norfolk, VA 23529 USA
[2] Univ Vermont, Dept Elect & Biomed Engn, Burlington, VT 05405 USA
来源：
2019 53RD ANNUAL CONFERENCE ON INFORMATION SCIENCES AND SYSTEMS (CISS) | 2019年
基金：
美国国家科学基金会;
关键词：
nonlinear control systems; machine learning; discretization; formal power series; APPROXIMATION;
D O I：
10.1109/ciss.2019.8692913
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A formal power series over a set of noncommuting indeterminants using iterated integrals as the coefficients is called a Chen series, named after the mathematician K.-T. Chen. The first goal of this paper is to give a brief overview of Chen series and their algebraic structures as a kind of reference point. The second goal is to describe its discrete-time analogue in detail and then apply the concept in two problems, the time discretization problem for nonlinear control systems and the machine learning problem for dynamical systems.
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收藏
页数：6
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