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Mat. Sb., 2019, Volume 210, Number 8, Pages 29–66 (Mi msb9141)  

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

A. A. Ershovab, A. V. Ushakova, V. N. Ushakovab

a N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences, Ekaterinburg, Russia
b Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg, Russia

Abstract: 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.

Keywords: control system, phase constraint, approach problem, solvability set, differential inclusion.

Funding Agency Grant Number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 01
This work was supported by the Presidium of the Russian Academy of Sciences (Fundamental Scientific Research Program no. 01 “The newest methods of mathematical modelling in the investigation of nonlinear dynamical systems”).

Author to whom correspondence should be addressed

DOI: https://doi.org/10.4213/sm9141

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English version:
Sbornik: Mathematics, 2019, 210:8, 1092–1128

Bibliographic databases:

UDC: 517.977.58
MSC: 93C10
Received: 23.06.2018

Citation: A. A. Ershov, A. V. Ushakov, V. N. Ushakov, “An approach problem for a control system and a compact set in the phase space in the presence of phase constraints”, Mat. Sb., 210:8 (2019), 29–66; Sb. Math., 210:8 (2019), 1092–1128

Citation in format AMSBIB
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