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

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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2011, Volume 17, Number 1, Pages 129–161 (Mi timm679)

This article is cited in 31 scientific papers (total in 31 papers)

Some algorithms for the dynamic reconstruction of inputs

Yu. S. Osipov^a, A. V. Kryazhimskii^bc, V. I. Maksimov^d

^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

Full-text PDF (439 kB) Citations (31)

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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.

Received: 01.06.2010

English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2011, Volume 275, Issue 1, Pages S86–S120
DOI: https://doi.org/10.1134/S0081543811090082

Bibliographic databases:

Document Type: Article

UDC: 517.917

Language: Russian

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

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Linking options:

https://www.mathnet.ru/eng/timm679

https://www.mathnet.ru/eng/timm/v17/i1/p129

This publication is cited in the following 31 articles:

N. N. Subbotina, E. A. Krupennikov, “On a control reconstruction problem with nonconvex constraints”, Proc. Steklov Inst. Math. (Suppl.), 325, suppl. 1 (2024), S179–S193
V. L. Rozenberg, 2ND INTERNATIONAL CONFERENCE & EXPOSITION ON MECHANICAL, MATERIAL, AND MANUFACTURING TECHNOLOGY (ICE3MT 2022), 2943, 2ND INTERNATIONAL CONFERENCE & EXPOSITION ON MECHANICAL, MATERIAL, AND MANUFACTURING TECHNOLOGY (ICE3MT 2022), 2023, 050020
V. I. Maksimov, “On the reconstruction of an input disturbance in a reaction–diffusion system”, Comput. Math. Math. Phys., 63:6 (2023), 990–1000
N. N. Subbotina, E. A. Krupennikov, “Weak* Approximations to the Solution of a Dynamic Reconstruction Problem”, Proc. Steklov Inst. Math. (Suppl.), 317, suppl. 1 (2022), S142–S152
N. N. Subbotina, E. A. Krupennikov, “Weak* Solution to a Dynamic Reconstruction Problem”, Proc. Steklov Inst. Math., 315 (2021), 233–246
Maksimov I V., “On a Modification of the Dynamic Regularization Method”, Differ. Equ., 57:8 (2021), 1119–1123
M. S. Blizorukova, V. I. Maksimov, “Dynamic discrepancy method in the problem of reconstructing the input of a system with time delay control”, Comput. Math. Math. Phys., 61:3 (2021), 359–367
Yury S. Osipov, Vyacheslav I. Maksimov, “On dynamical input reconstruction in a distributed second order equation”, J. Inverse Ill-Posed Probl., 29:5 (2021), 707–719
Vyacheslav I. Maksimov, “The methods of dynamical reconstruction of an input in a system of ordinary differential equations”, Journal of Inverse and Ill-posed Problems, 29:1 (2021), 125
E. A. Krupennikov, “Properties of solutions of dynamic control reconstruction problems”, J. Phys.: Conf. Ser., 1864:1 (2021), 012034
V. K. Maksimov, “Ob odnom algoritme rekonstruktsii vozmuscheniya nelineinoi sistemy”, Tr. IMM UrO RAN, 26, no. 1, 2020, 156–166
B. R. Andrievsky, B. R. Andrievsky, I. B. Furtat, “Disturbance observers: methods and applications. I. Methods”, Autom. Remote Control, 81:9 (2020), 1563–1610
Evgenii Aleksandrovitch Krupennikov, Lecture Notes in Control and Information Sciences - Proceedings, Stability, Control and Differential Games, 2020, 239
Nina N. Subbotina, Lecture Notes in Control and Information Sciences - Proceedings, Stability, Control and Differential Games, 2020, 367
Elena Podivilova, Vladimir Shiryaev, 2020 International Conference on Industrial Engineering, Applications and Manufacturing (ICIEAM), 2020, 1
Surkov P.G., “Dynamic Right-Hand Side Reconstruction Problem For a System of Fractional Differential Equations”, Differ. Equ., 55:6 (2019), 849–858
V. I. Maksimov, “Input reconstruction in a dynamic system from measurements of a part of phase coordinates”, Comput. Math. Math. Phys., 59:5 (2019), 708–717
Evgenii A. Krupennikov, Communications in Computer and Information Science, 1090, Mathematical Optimization Theory and Operations Research, 2019, 508
V. L. Rozenberg, “Dynamic reconstruction of disturbances in a quasilinear stochastic differential equation”, Comput. Math. Math. Phys., 58:7 (2018), 1071–1080
Subbotina N.N., “Hamiltonian Systems in Dynamic Reconstruction Problems”, IFAC PAPERSONLINE, 51:32 (2018), 136–140

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

Trudy Instituta Matematiki i Mekhaniki UrO RAN

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