An approach problem for a control system and a compact set in the phase space in the presence of phase constraints

A control system with a phase constraint is considered in a finite-dimensional Euclidean space. The problem of making this system approach the target set at a fixed time instant is studied. A method for constructing an approximate solution to the approach problem is given, which involves the concept...

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Bibliographic Details
Published in:Sbornik. Mathematics 2019-08, Vol.210 (8), p.1092-1128
Main Authors: Ershov, A. A., Ushakov, A. V., Ushakov, V. N.
Format: Article
Language:English
Subjects:
approach problem
control system
Control systems
differential inclusion
Euclidean geometry
Euclidean space
phase constraint
solvability set
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Summary:A control system with a phase constraint is considered in a finite-dimensional Euclidean space. The problem of making this system approach the target set at a fixed time instant is studied. A method for constructing an approximate solution to the approach problem is given, which involves the concept of the solvability set of an approach problem. Bibliography: 24 titles.
ISSN:1064-5616
1468-4802
DOI:10.1070/SM9141