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Implicit Function. Controllability and Perturbation of Optimal Control Problems

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Abstract

We prove a special implicit function theorem which is used to obtain meaningful results about the controllability of dynamical systems and perturbations of optimal control problems.

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Authors and Affiliations

  1. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow, 117997, Russia

    E. R. Avakov

  2. Lomonosov Moscow State University, Moscow, 119991, Russia

    E. R. Avakov & G. G. Magaril-Il’yaev

  3. Kharkevich Institute for Information Transmission Problems of Russian Academy of Sciences, Moscow, 127051, Russia

    G. G. Magaril-Il’yaev

  4. Southern Mathematical Institute of Vladikavkaz Scientific Center of Russian Academy of Sciences and the Government of the Republic of North Ossetia-Alania, Vladikavkaz, 362027, Russia

    G. G. Magaril-Il’yaev

Authors
  1. E. R. Avakov
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  2. G. G. Magaril-Il’yaev
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Corresponding author

Correspondence to E. R. Avakov.

Additional information

Translated from Matematicheskie Zametki, 2021, Vol. 109, pp. 483-499 https://doi.org/10.4213/mzm12824.

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Avakov, E.R., Magaril-Il’yaev, G.G. Implicit Function. Controllability and Perturbation of Optimal Control Problems. Math Notes 109, 503–516 (2021). https://doi.org/10.1134/S0001434621030196

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  • DOI: https://doi.org/10.1134/S0001434621030196

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