FINITE TIME STABILITY AND RELATIVE CONTROLLABILITYOF SECOND ORDER LINEAR DIFFERENTIAL SYSTEMSWITH PURE DELAY

被引：1

作者：

Li, Mengmeng ^{[1
]}

Feckan, Michal ^{[2
,3
]}

Wang, JinRong ^{[1
]}

机构：

[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China

[2] Comenius Univ, Dept Math Anal & Numer Math, Fac Math Phys & Informat, Bratislava 84248, Slovakia

[3] Slovak Acad Sci, Math Inst, Stefanikova 49, Bratislava 81473, Slovakia

来源：

APPLICATIONS OF MATHEMATICS | 2023年 / 68卷 / 03期

基金：

中国国家自然科学基金;

关键词：

finite time stability; relative controllability; second order; delayed matrix function; SOBOLEV TYPE; REPRESENTATION; EQUATIONS;

D O I：

10.21136/AM.2022.0249-21

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We first consider the finite time stability of second order linear differential systems with pure delay via giving a number of properties of delayed matrix functions. We secondly give sufficient and necessary conditions to examine that a linear delay system is relatively controllable. Further, we apply the fixed-point theorem to derive a relatively controllable result for a semilinear system. Finally, some examples are presented to illustrate the validity of the main theorems.

引用

页码：305 / 327

页数：23

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