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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 2017 Volume 208, Number 9, Pages 56–99 (Mi sm8761)

This article is cited in 18 papers

An approach problem for a control system with an unknown parameter

A. A. Ershov, V. N. Ushakov

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg

Abstract: A control system with an unknown constant parameter is considered on a finite time interval. In the paper the solvability set is taken to contain only those initial positions of the system such that for each admissible value of the parameter a control taking the system to a prescribed target set exists. A numerical algorithm is designed that constructs an approximate solution, that is, a control on a prescribed interval of time which ensures that the motion of the control system occurs in a certain small neighbourhood of the target set.
Bibliography: 26 titles.

Keywords: control, control system, differential inclusion, approach problem, target set, unknown constant parameter.

UDC: 517.977.58

MSC: 93B03, 93C10, 93C15

Received: 21.06.2016 and 02.03.2017

DOI: 10.4213/sm8761


 English version:
Sbornik: Mathematics, 2017, 208:9, 1312–1352

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© Steklov Math. Inst. of RAS, 2026