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

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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.

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Authors and Affiliations

  1. Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620990, Russia

    N. N. Subbotina, T. B. Tokmantsev & E. A. Krupennikov

  2. Institute of Mathematics and Computer Sciences, Ural Federal University Named after the First President of Russia B.N. Yeltsin, ul. Turgeneva 4, Yekaterinburg, 620075, Russia

    N. N. Subbotina & E. A. Krupennikov

  3. Ural Power Engineering Institute, Ural Federal University Named after the First President of Russia B.N. Yeltsin, ul. S. Kovalevskoi 5, Yekaterinburg, 620002, Russia

    T. B. Tokmantsev

Authors
  1. N. N. Subbotina
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  2. T. B. Tokmantsev
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  3. E. A. Krupennikov
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Correspondence to N. N. Subbotina.

Additional information

Original Russian Text © N.N. Subbotina, T.B. Tokmantsev, E.A. Krupennikov, 2015, published in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2015, Vol. 291, pp. 266–275.

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Subbotina, N.N., Tokmantsev, T.B. & Krupennikov, E.A. On the solution of inverse problems of dynamics of linearly controlled systems by the negative discrepancy method. Proc. Steklov Inst. Math. 291, 253–262 (2015). https://doi.org/10.1134/S0081543815080209

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  • DOI: https://doi.org/10.1134/S0081543815080209

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