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.

引用

页数：6

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