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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2015, Volume 291, Pages 266–275
DOI: https://doi.org/10.1134/S0371968515040202 (Mi tm3677) 		 
This article is cited in 14 scientific papers (total in 14 papers)

On the solution of inverse problems of dynamics of linearly controlled systems by the negative discrepancy method

N. N. Subbotinaab, T. B. Tokmantsevcb, E. A. Krupennikovab

a Institute of Mathematics and Computer Science, Ural Federal University, Ekaterinburg, Russia
b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg, Russia
c Ural Power Engineering Institute, Ural Federal University, Ekaterinburg, Russia
Full-text PDF (321 kB) Citations (14)
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DOI: https://doi.org/10.1134/S0371968515040202
Abstract: The paper is devoted to the substantiation of the negative discrepancy method for solving inverse problems of the dynamics of deterministic control systems that are nonlinear in state variables and linear in control. The problem statements include the known sampling history of trajectories measured inaccurately, with known error estimates. The investigation is based on the Pontryagin maximum principle. The results of simulation of an inverse problem for a macroeconomic model are presented.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00168
Russian Academy of Sciences - Federal Agency for Scientific Organizations
This work was supported by the Russian Foundation for Basic Research (project no. 14-01-00168) and by the Presidium of the Russian Academy of Sciences within the program “Mathematical Problems of Modern Control Theory.”
Received: January 15, 2015
English version:
Proceedings of the Steklov Institute of Mathematics, 2015, Volume 291, Pages 253–262
DOI: https://doi.org/10.1134/S0081543815080209
Bibliographic databases:
Document Type: Article
UDC: 517.97+517.988.68
Language: Russian
Citation: N. N. Subbotina, T. B. Tokmantsev, E. A. Krupennikov, “On the solution of inverse problems of dynamics of linearly controlled systems by the negative discrepancy method”, Optimal control, Collected papers. In commemoration of the 105th anniversary of Academician Lev Semenovich Pontryagin, Trudy Mat. Inst. Steklova, 291, MAIK Nauka/Interperiodica, Moscow, 2015, 266–275; Proc. Steklov Inst. Math., 291 (2015), 253–262
Citation in format AMSBIB
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\paper On the solution of inverse problems of dynamics of linearly controlled systems by the negative discrepancy method
\inbook Optimal control
\bookinfo Collected papers. In commemoration of the 105th anniversary of Academician Lev Semenovich Pontryagin
\serial Trudy Mat. Inst. Steklova
\yr 2015
\vol 291
\pages 266--275
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3677}
\crossref{https://doi.org/10.1134/S0371968515040202}
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\pages 253--262
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  • https://doi.org/10.1134/S0371968515040202
  • https://www.mathnet.ru/eng/tm/v291/p266
    • This publication is cited in the following 14 articles:
    1. N. N. Subbotina, E. A. Krupennikov, “On Regularization of a Variational Approach to Solving Control Reconstruction Problems”, Lobachevskii J Math, 43:6 (2022), 1428  crossref
    2. Turetsky V., “Two Inverse Problems Solution By Feedback Tracking Control”, Axioms, 10:3 (2021), 137  crossref  isi
    3. Nina N. Subbotina, “On control reconstructions to management problems”, Contributions to Game Theory and Management, 13 (2020), 402–414  mathnet
    4. N. N. Subbotina, E. A. Krupennikov, “Hamiltonian systems for control reconstruction problems”, Minimax Theory Appl., 5:2, SI (2020), 439–454  mathscinet  zmath  isi
    5. Nina N. Subbotina, Lecture Notes in Control and Information Sciences - Proceedings, Stability, Control and Differential Games, 2020, 367  crossref
    6. Evgenii Aleksandrovitch Krupennikov, Lecture Notes in Control and Information Sciences - Proceedings, Stability, Control and Differential Games, 2020, 239  crossref
    7. Evgenii A. Krupennikov, Communications in Computer and Information Science, 1090, Mathematical Optimization Theory and Operations Research, 2019, 508  crossref
    8. O. Malafeyev, K. Farvazov, O. Zenovich, I. Zaitseva, K. Kostyukov, T. Svechinskaya, “Geopolitical model of investment power station construction project implementation”, International Conference on Electrical, Electronics, Materials and Applied Science, AIP Conf. Proc., 1952, eds. V. Rao, A. Ben, S. Bhukya, Amer. Inst. Phys., 2018, UNSP 020066  crossref  isi  scopus
    9. N. N. Subbotina, E. A. Krupennikov, “On the solution of inverse problems for dynamic control systems”, International Conference on Analysis and Applied Mathematics (ICAAM 2018), AIP Conf. Proc., 1997, eds. A. Ashyralyev, A. Lukashov, M. Sadybekov, Amer. Inst. Phys., 2018, UNSP 020006-1  crossref  mathscinet  isi  scopus
    10. N. N. Subbotina, “Hamiltonian systems in dynamic reconstruction problems”, IFAC PAPERSONLINE, 51:32 (2018), 136–140  crossref  isi
    11. E. A. Krupennikov, “Solution of inverse problems for control systems with large control parameter dimension”, IFAC PAPERSONLINE, 51:32 (2018), 434–438  crossref  isi
    12. Evgeniy Krupennikov, Static & Dynamic Game Theory: Foundations & Applications, Frontiers of Dynamic Games, 2018, 89  crossref
    13. N. N. Subbotina, E. A. Krupennikov, “The method of characteristics in an identification problem”, Proc. Steklov Inst. Math. (Suppl.), 299, suppl. 1 (2017), 205–216  mathnet  crossref  crossref  mathscinet  isi  elib
    14. Nina N. Subbotina, Evgeniy A. Krupennikov, “Dynamic Programming to Identification Problems”, WJET, 04:03 (2016), 228  crossref
    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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