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Tr. Mat. Inst. Steklova, 2012, Volume 277, Pages 152–167 (Mi tm3387)  

This article is cited in 14 scientific papers (total in 14 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

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.


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English version:
Proceedings of the Steklov Institute of Mathematics, 2012, 277, 144–159

Bibliographic databases:

Document Type: Article
UDC: 517.977
Received in March 2012

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, Tr. 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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\by A.~V.~Kryazhimskiy, Yu.~S.~Osipov
\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 Tr. Mat. Inst. Steklova
\yr 2012
\vol 277
\pages 152--167
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3387}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3052269}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2012
\vol 277
\pages 144--159
\crossref{https://doi.org/10.1134/S0081543812040104}
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\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84904061707}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. A. V. Kryazhimskiy, N. V. Strelkovskiy, “An open-loop criterion for the solvability of a closed-loop guidance problem with incomplete information. Linear control systems”, Proc. Steklov Inst. Math. (Suppl.), 291, suppl. 1 (2015), 113–127  mathnet  crossref  mathscinet  isi  elib
    2. A. V. Kryazhimskii, N. V. Strelkovskii, “Zadacha garantirovannogo pozitsionnogo navedeniya lineinoi upravlyaemoi sistemy k zadannomu momentu vremeni pri nepolnoi informatsii. Programmnyi kriterii razreshimosti”, Tr. IMM UrO RAN, 20, no. 4, 2014, 168–177  mathnet  mathscinet  elib
    3. V. L. Rozenberg, “A control problem under incomplete information for a linear stochastic differential equation”, Proc. Steklov Inst. Math. (Suppl.), 295, suppl. 1 (2016), 145–155  mathnet  crossref  mathscinet  elib
    4. Valeriy L. Rozenberg, “A guaranteed control problem for a linear stochastic differential equation”, Ural Math. J., 1:1 (2015), 68–82  mathnet  crossref
    5. V. I. Maksimov, “Differential guidance game with incomplete information on the state coordinates and unknown initial state”, Differ. Equ., 51:12 (2015), 1656–1665  crossref  mathscinet  zmath  isi  elib  scopus
    6. M. S. Blizorukova, “On a control problem for a linear system with delay in the control”, Proc. Steklov Inst. Math. (Suppl.), 297, suppl. 1 (2017), 35–42  mathnet  crossref  crossref  mathscinet  isi  elib
    7. V. I. Maksimov, “On a guaranteed guidance problem under incomplete information”, Proc. Steklov Inst. Math. (Suppl.), 297, suppl. 1 (2017), 147–158  mathnet  crossref  crossref  mathscinet  isi  elib
    8. V. I. Maksimov, “Guidance problem for a distributed system with incomplete information on the state coordinates and an unknown initial state”, Differ. Equ., 52:11 (2016), 1442–1452  crossref  mathscinet  zmath  isi  scopus
    9. V. I. Maksimov, P. G. Surkov, “O razreshimosti zadachi garantirovannogo paketnogo navedeniya na sistemu tselevykh mnozhestv”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 27:3 (2017), 344–354  mathnet  crossref  elib
    10. V. I. Maksimov, “Problem of guaranteed guidance by measuring part of the state vector coordinates”, Differ. Equ., 53:11 (2017), 1449–1457  crossref  crossref  mathscinet  zmath  isi  elib
    11. P. G. Surkov, “Zadacha paketnogo navedeniya s nepolnoi informatsiei pri integralnom signale nablyudeniya”, Sib. elektron. matem. izv., 15 (2018), 373–388  mathnet  crossref  mathscinet  zmath
    12. Surkov P.G., “On the Problem of Package Guidance For Nonlinear Control System Via Fuzzy Approach”, IFAC PAPERSONLINE, 51:32 (2018), 733–738  crossref  isi  scopus
    13. V. N. Ushakov, A. A. Ershov, G. V. Parshikov, “O privedenii dvizheniya upravlyaemoi sistemy na mnozhestvo Lebega lipshitsevoi funktsii”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 28:4 (2018), 489–512  mathnet  crossref  elib
    14. S. M. Orlov, N. V. Strelkovskii, “Vychislenie elementov navodyaschego paketa programm dlya osobykh klasterov mnozhestva nachalnykh sostoyanii v zadache paketnogo navedeniya”, Tr. IMM UrO RAN, 25, no. 1, 2019, 150–165  mathnet  crossref  elib
  • Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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