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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2012, Volume 277, Pages 152–167 (Mi tm3387)  
This article is cited in 19 scientific papers (total in 19 papers)

On the solvability of problems of guaranteeing control for partially observable linear dynamical systems

A. V. Kryazhimskiyab, Yu. S. Osipovc

a Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
b International Institute for Applied Systems Analysis, Laxenburg, Austria
c Presidium of the Russian Academy of Sciences, Moscow, Russia
Full-text PDF (233 kB) Citations (19)
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Abstract: This paper is devoted to a specification of the method of open-loop control packages, a universal instrument for verification of the solvability of problems of closed-loop control for partially observable dynamical systems. Under the assumption that the control system and observed signal are linear and the set of the admissible initial states is finite, a structure of the corresponding open-loop control packages is specified and a finite-step backward construction is described, which provides a criterion for the solvability of a problem of guaranteed closed-loop guidance onto a target set at a prescribed time.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-12112-ofi-m
The first author acknowledges partial support of the Russian Foundation for Basic Research, project no. 11-01-12112-ofi-m-2011.
Received in March 2012
English version:
Proceedings of the Steklov Institute of Mathematics, 2012, Volume 277, Pages 144–159
DOI: https://doi.org/10.1134/S0081543812040104
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: A. V. Kryazhimskiy, Yu. S. Osipov, “On the solvability of problems of guaranteeing control for partially observable linear dynamical systems”, Mathematical control theory and differential equations, Collected papers. In commemoration of the 90th anniversary of Academician Evgenii Frolovich Mishchenko, Trudy Mat. Inst. Steklova, 277, MAIK Nauka/Interperiodica, Moscow, 2012, 152–167; Proc. Steklov Inst. Math., 277 (2012), 144–159
Citation in format AMSBIB
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\paper On the solvability of problems of guaranteeing control for partially observable linear dynamical systems
\inbook Mathematical control theory and differential equations
\bookinfo Collected papers. In commemoration of the 90th anniversary of Academician Evgenii Frolovich Mishchenko
\serial Trudy Mat. Inst. Steklova
\yr 2012
\vol 277
\pages 152--167
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 19 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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