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.
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页码：820 / 832
页数：12
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