Local Kalman rank condition for linear time varying systems

IF 1 4区数学 Q1 MATHEMATICS

Mathematical Control and Related Fields Pub Date : 2021-01-01 DOI:10.3934/MCRF.2021029

H. Maarouf

引用次数: 1

Abstract

In this paper, we study some non-negative integers related to a linear time varying system and to some Krylov sub-spaces associated to this system. Such integers are similar to the controllability indices and have been used in the literature to derive results on the controllability of linear systems. The purpose of this paper goes in the same direction by studying the local behavior of these integers especially nearby instants in the time interval with some maximal rank condition and then apply them to get some results which generalize the mentioned existing results.

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线性时变系统的局部卡尔曼秩条件

本文研究了一类线性时变系统的非负整数及其相关的Krylov子空间。这种整数类似于可控性指标，并在文献中被用来推导线性系统可控性的结果。本文的目的与此不谋而合，通过研究这些整数在具有最大秩条件的时间区间内的局部行为，特别是邻近瞬间的行为，并应用它们得到一些推广已有结果的结果。

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

Mathematical Control and Related Fields MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.50

自引率

8.30%

发文量

期刊介绍： MCRF aims to publish original research as well as expository papers on mathematical control theory and related fields. The goal is to provide a complete and reliable source of mathematical methods and results in this field. The journal will also accept papers from some related fields such as differential equations, functional analysis, probability theory and stochastic analysis, inverse problems, optimization, numerical computation, mathematical finance, information theory, game theory, system theory, etc., provided that they have some intrinsic connections with control theory.