Reachable Sets and Integral Funnels of Differential Inclusions Depending on a Parameter

被引：3
|
作者：
Ushakov, V. N. [1 ]
Ershov, A. A. [1 ]
机构：
[1] Russian Acad Sci, Ural Branch, Krasovskii Inst Math & Mech, Ekaterinburg 620990, Russia
来源：
DOKLADY MATHEMATICS | 2021年 / 104卷 / 01期
关键词：
control system; differential inclusion; reachable set; integral funnel; Hausdorff distance; approximation; SYSTEMS;
D O I：
10.1134/S1064562421040153
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A parameter-dependent control system is considered in Euclidean space \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\mathbb{R}}<^>{n}}$$\end{document}. The dependence, on the parameter, of the reachable sets and integral funnels of the differential inclusion corresponding to the system is investigated. Estimates are obtained that characterize this dependence.
引用
收藏
页码：200 / 204
页数：5
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