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

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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. Kryazhimskiy^ab, Yu. S. Osipov^c

^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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Linking options:

https://www.mathnet.ru/eng/tm3387

https://www.mathnet.ru/eng/tm/v277/p152

This publication is cited in the following 19 articles:

P. G. Surkov, “Package guidance problem for a fractional-order system”, Proc. Steklov Inst. Math. (Suppl.), 325, suppl. 1 (2024), S212–S230
S. I. Kabanikhin, O. I. Krivorot'ko, “Optimization methods for solving inverse immunology and epidemiology problems”, Comput. Math. Math. Phys., 60:4 (2020), 580–589
Nikita Strelkovskii, Sergey Orlov, Lecture Notes in Control and Information Sciences - Proceedings, Stability, Control and Differential Games, 2020, 213
S. M. Orlov, N. V. Strelkovskii, “Calculation of Elements of a Guiding Program Package for Singular Clusters of the Set of Initial States in the Package Guidance Problem”, Proc. Steklov Inst. Math. (Suppl.), 308, suppl. 1 (2020), S163–S177
Patsko V., Quincampoix M., “Preface: Dgaa Special Issue on Pursuit-Evasion Games and Differential Games With Incomplete Information”, Dyn. Games Appl., 9:3, SI (2019), 569–572
P. G. Surkov, “Zadacha paketnogo navedeniya s nepolnoi informatsiei pri integralnom signale nablyudeniya”, Sib. elektron. matem. izv., 15 (2018), 373–388
Surkov P.G., “On the Problem of Package Guidance For Nonlinear Control System Via Fuzzy Approach”, IFAC PAPERSONLINE, 51:32 (2018), 733–738
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
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
V. I. Maksimov, “Problem of guaranteed guidance by measuring part of the state vector coordinates”, Differ. Equ., 53:11 (2017), 1449–1457
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
V. I. Maksimov, “On a guaranteed guidance problem under incomplete information”, Proc. Steklov Inst. Math. (Suppl.), 297, suppl. 1 (2017), 147–158
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
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
Valeriy L. Rozenberg, “A guaranteed control problem for a linear stochastic differential equation”, Ural Math. J., 1:1 (2015), 68–82
V. I. Maksimov, “Differential guidance game with incomplete information on the state coordinates and unknown initial state”, Differ. Equ., 51:12 (2015), 1656–1665
N. V. Strelkovskii, “Constructing a strategy for the guaranteed positioning guidance of a linear controlled system with incomplete data”, MoscowUniv.Comput.Math.Cybern., 39:3 (2015), 126
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
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

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Труды Математического института имени В. А. Стеклова

Proceedings of the Steklov Institute of Mathematics

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