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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
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\crossref{https://doi.org/10.1134/S0371968515040202}
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    • This publication is cited in the following 14 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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