This article is cited in 2 papers

MATHEMATICS

Reachable sets and integral funnels of differential inclusions depending on a parameter

V. N. Ushakov, A. A. Ershov

N.N. Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Yekaterinburg, Russia

Abstract: A parameter-dependent control system is considered in Euclidean space $\mathbb{R}^n$. 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.

Keywords: control system, differential inclusion, reachable set, integral funnel, Hausdorff distance, approximation.

UDC: 517.977.58

Received: 16.04.2021
Revised: 11.05.2021
Accepted: 13.05.2021

DOI: 10.31857/S2686954321040159

 English version: Doklady Mathematics, 2021, 104:1, 200–204

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