Geodesic
An approach problem for a~control system and a~compact set in the phase space in the presence of phase constraints
Sbornik. Mathematics, Tome 210 (2019) no. 8, pp. 1092-1128

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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. 
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     author = {A. A. Ershov and A. V. Ushakov and V. N. Ushakov},
     title = {An approach problem for a~control system and a~compact set in the phase space in the presence of phase constraints},
     journal = {Sbornik. Mathematics},
     pages = {1092--1128},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2019_210_8_a1/}
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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. Sbornik. Mathematics, Tome 210 (2019) no. 8, pp. 1092-1128. http://geodesic.mathdoc.fr/item/SM_2019_210_8_a1/