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Some algorithms for the dynamic reconstruction of inputs

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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. Krasovskii’s principle of extremal aiming, which is known in the theory of guaranteed control.

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Authors and Affiliations

  1. Presidium of the Russian Academy of Sciences, Leninskii pr. 14, Moscow, 119991, Russia

    Yu. S. Osipov

  2. Steklov Mathematical Institute, ul. Gubkina 8, Moscow, 119991, Russia

    A. V. Kryazhimskii

  3. International Institute for Applied Systems Analysis, Schlossplatz 1, A-2361, Laxenburg, Austria

    A. V. Kryazhimskii

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

    V. I. Maksimov

  5. Ural Federal University, ul. Mira, 19, Yekaterinburg, 620002, Russia

    V. I. Maksimov

Authors
  1. Yu. S. Osipov
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  2. A. V. Kryazhimskii
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  3. V. I. Maksimov
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Corresponding author

Correspondence to A. V. Kryazhimskii.

Additional information

Original Russian Text © Yu.S.Osipov, A.V. Kryazhimskii, V.I.Maksimov, 2011, published in Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2011, Vol. 17, No. 1.

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Osipov, Y.S., Kryazhimskii, A.V. & Maksimov, V.I. Some algorithms for the dynamic reconstruction of inputs. Proc. Steklov Inst. Math. 275 (Suppl 1), 86–120 (2011). https://doi.org/10.1134/S0081543811090082

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  • DOI: https://doi.org/10.1134/S0081543811090082

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