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Trudy Inst. Mat. i Mekh. UrO RAN, 2011, Volume 17, Number 1, Pages 129–161 (Mi timm679)  

This article is cited in 8 scientific papers (total in 8 papers)

Some algorithms for the dynamic reconstruction of inputs

Yu. S. Osipova, A. V. Kryazhimskiibc, V. I. Maksimovd

a Presidium of the Russian Academy of Sciences
b Steklov Mathematical Institute, Russian Academy of Sciences
c International Institute for Applied Systems Analysis, Laxenburg, Austria
d Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences

Abstract: For some classes of systems described by ordinary differential equations, a survey of algorithms for the dynamic reconstruction of inputs is presented. The algorithms described in the paper are stable with respect to information noises and computation errors; they are based on methods from the theory of ill-posed problems as well as on appropriate modifications of N. N. Krasovskiis principle of extremal aiming, which is known in the theory of guaranteed control.

Keywords: reconstruction, controlled models.

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English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2011, 275, suppl. 1, S86–S120

Bibliographic databases:

UDC: 517.917
Received: 01.06.2010

Citation: Yu. S. Osipov, A. V. Kryazhimskii, V. I. Maksimov, “Some algorithms for the dynamic reconstruction of inputs”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 1, 2011, 129–161; Proc. Steklov Inst. Math. (Suppl.), 275, suppl. 1 (2011), S86–S120

Citation in format AMSBIB
\by Yu.~S.~Osipov, A.~V.~Kryazhimskii, V.~I.~Maksimov
\paper Some algorithms for the dynamic reconstruction of inputs
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2011
\vol 17
\issue 1
\pages 129--161
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2011
\vol 275
\issue , suppl. 1
\pages S86--S120

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    This publication is cited in the following articles:
    1. V. L. Rozenberg, “On a problem of perturbation restoration in stochastic differential equation”, Autom. Remote Control, 73:3 (2012), 494–507  mathnet  crossref  isi
    2. V. L. Rozenberg, “Problem of reconstructing a disturbance in a linear stochastic equation: the case of incomplete information”, Proc. Steklov Inst. Math. (Suppl.), 287, suppl. 1 (2014), 167–174  mathnet  crossref  mathscinet  isi  elib
    3. V. L. Rozenberg, “Reconstruction of random-disturbance amplitude in linear stochastic equations from measurements of some of the coordinates”, Comput. Math. Math. Phys., 56:3 (2016), 367–375  mathnet  crossref  crossref  isi  elib
    4. V. L. Rozenberg, “Reconstruction of external actions under incomplete information in a linear stochastic equation”, Proc. Steklov Inst. Math. (Suppl.), 296, suppl. 1 (2017), 196–205  mathnet  crossref  crossref  mathscinet  isi  elib
    5. Podivilova E., Shiryaev V., “Application of Model and Process Features in Set-Valued Dynamical System State Estimation”, 2017 International Conference on Industrial Engineering, Applications and Manufacturing (ICIEAM), IEEE, 2017  isi
    6. V. L. Rozenberg, “Dynamic reconstruction of disturbances in a quasilinear stochastic differential equation”, Comput. Math. Math. Phys., 58:7 (2018), 1071–1080  mathnet  crossref  crossref  isi  elib
    7. Subbotina N.N., “Hamiltonian Systems in Dynamic Reconstruction Problems”, IFAC PAPERSONLINE, 51:32 (2018), 136–140  crossref  isi
    8. Rozenberg V.L., “Dynamical Input Reconstruction Problem For a Quasi-Linear Stochastic System”, IFAC PAPERSONLINE, 51:32 (2018), 727–732  crossref  isi
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