Control Systems of Variable Structure. Attainability Sets and Integral Funnels

被引：0

作者：

Ushakov V.N. ^{[1
]}

Ukhobotov V.I. ^{[1
,2
]}

Ushakov A.V. ^{[1
]}

Izmest’ev I.V. ^{[1
,2
]}

机构：

[1] N. N. Krasovskii Institute of Mathematics and Mechanics, UB RAS, 16, Kovalevskaya St, Ekaterinburg

[2] Chelyabinsk State University, 129, Brat’ev Kashirinyh St, Chelyabinsk

来源：

Journal of Mathematical Sciences | 2022年 / 260卷 / 6期

关键词：

D O I：

10.1007/s10958-022-05730-1

中图分类号：

学科分类号：

摘要：

We consider a nonlinear control system in a finite-dimensional Euclidean space and on a finite time interval. The system varies over some less time interval, and the differential equation describing the system is replaced with some other differential equation. As a result, a new control system appears on the initial time interval. We study how much the integral funnel of the system is changed under such a replacement. We obtain the upper estimate for the Hausdorff distance between the integral funnels of differential inclusions related to the initial and varied systems. © 2022, Springer Science+Business Media, LLC, part of Springer Nature.

引用

页码：820 / 832

页数：12

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