An approach problem for a~control system with an unknown parameter
Sbornik. Mathematics, Tome 208 (2017) no. 9, pp. 1312-1352
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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.
@article{SM_2017_208_9_a3,
author = {A. A. Ershov and V. N. Ushakov},
title = {An approach problem for a~control system with an unknown parameter},
journal = {Sbornik. Mathematics},
pages = {1312--1352},
publisher = {mathdoc},
volume = {208},
number = {9},
year = {2017},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2017_208_9_a3/}
}
A. A. Ershov; V. N. Ushakov. An approach problem for a~control system with an unknown parameter. Sbornik. Mathematics, Tome 208 (2017) no. 9, pp. 1312-1352. http://geodesic.mathdoc.fr/item/SM_2017_208_9_a3/