On the properties of forward and backward shifts of vector fields

IF 1 4区综合性期刊 Q3 MULTIDISCIPLINARY SCIENCES

Proceedings of the Estonian Academy of Sciences Pub Date : 2022-01-01 DOI:10.3176/proc.2022.4.02

A. Kaldmäe, V. Kaparin, Ü. Kotta, T. Mullari, E. Pawluszewiczc

引用次数: 1

Abstract

. The paper investigates some properties of recently deﬁned forward and backward shifts of vector ﬁelds. The main purpose of the paper is to show that the forward and backward shifts of vector ﬁelds commute with the Lie bracket operator and with some commonly used system transformations. The latter include, for example, classical and parametrized state transformations as well as static and dynamic state feedbacks. These properties become important when studying control problems involving such transformations.

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论向量场的前移和后移的性质

．本文研究了最近定义的矢量场的正反移的一些性质。本文的主要目的是证明向量场的前向和后向位移与李括号算子和一些常用的系统变换是可交换的。后者包括，例如，经典和参数化状态转换，以及静态和动态状态反馈。在研究涉及此类变换的控制问题时，这些性质变得非常重要。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Proceedings of the Estonian Academy of Sciences 综合性期刊-综合性期刊

CiteScore

1.80

自引率

22.20%

发文量

审稿时长

>12 weeks

期刊介绍： The Proceedings of the Estonian Academy of Sciences is an international scientific open access journal published by the Estonian Academy of Sciences in collaboration with the University of Tartu, Tallinn University of Technology, Tallinn University, and the Estonian University of Life Sciences. The journal publishes primary research and review papers in the English language. All articles are provided with short Estonian summaries. All papers to be published in the journal are peer reviewed internationally. The journal is open to word-wide scientific community for publications in all fields of science represented at the Estonian Academy of Sciences and having certain connection with our part of the world, North Europe and the Baltic area in particular.