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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2010, Volume 271, Pages 181–186 (Mi tm3237)  
Linear problem of tracking a given motion under an integral constraint on control

M. S. Nikol'skii

Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
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Abstract: We consider the problem of optimally tracking a given vector function by means of a generalized projection of the trajectory of a linear controlled object with an integral constraint on the control. The deviation from a given motion is measured in the metric of the space $C^m[0,T]$ of continuous vector functions of appropriate dimension $m$. We describe a constructive method for solving this optimization problem with a given accuracy.
Received in October 2009
English version:
Proceedings of the Steklov Institute of Mathematics, 2010, Volume 271, Pages 171–176
DOI: https://doi.org/10.1134/S0081543810040139
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: M. S. Nikol'skii, “Linear problem of tracking a given motion under an integral constraint on control”, Differential equations and topology. II, Collected papers. In commemoration of the centenary of the birth of Academician Lev Semenovich Pontryagin, Trudy Mat. Inst. Steklova, 271, MAIK Nauka/Interperiodica, Moscow, 2010, 181–186; Proc. Steklov Inst. Math., 271 (2010), 171–176
Citation in format AMSBIB
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\by M.~S.~Nikol'skii
\paper Linear problem of tracking a~given motion under an integral constraint on control
\inbook Differential equations and topology.~II
\bookinfo Collected papers. In commemoration of the centenary of the birth of Academician Lev Semenovich Pontryagin
\serial Trudy Mat. Inst. Steklova
\yr 2010
\vol 271
\pages 181--186
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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