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
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.
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页码:200 / 204
页数:5
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