Yu.\,S.~Osipov's work in mathematical control theory
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 61 (2006) no. 4, pp. 593-610
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This paper gives an overview of Yu. S. Osipov's work in mathematical control theory, including development of the theory of positional differential games for control systems with time delay;
analysis of the phenomenon of infinite dimensionality of the state space of a dynamical system in the context of differential games; development of the theory of dynamical inversion (dynamical regularization) for finite- and infinite-dimensional control systems; applications of methods of the theory of positional differential games beyond the scope of the theory itself;
work on new differential-game methods and on methods of control under incomplete information. The author of this overview is the first student of Osipov, and also his
longstanding colleague.
@article{RM_2006_61_4_a2,
author = {A. V. Kryazhimskii},
title = {Yu.\,S.~Osipov's work in mathematical control theory},
journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
pages = {593--610},
publisher = {mathdoc},
volume = {61},
number = {4},
year = {2006},
language = {en},
url = {http://geodesic.mathdoc.fr/item/RM_2006_61_4_a2/}
}
A. V. Kryazhimskii. Yu.\,S.~Osipov's work in mathematical control theory. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 61 (2006) no. 4, pp. 593-610. http://geodesic.mathdoc.fr/item/RM_2006_61_4_a2/