E. R. Avakov, G. G. Magaril-Il'yaev, “Controllability of difference approximation for a control system with continuous time”, Mat. Sb., 2022, Volume 213, Number 12,Pages <nobr>3–30</nobr>

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Mat. Sb., 2022 Volume 213, Number 12, Pages 3–30 (Mi sm9681)

Controllability of difference approximation for a control system with continuous time

E. R. Avakov^a, G. G. Magaril-Il'yaev^bcd

^a V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow, Russia
^b Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia
^c Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow, Russia
^d Moscow Institute of Physics and Technology, Dolgoprudny, Moscow region, Russia

Abstract: For a control system with continuous time a discrete control system approximating it is constructed and shown to be locally controllable with respect to a trajectory admissible for the continuous system in question. Examples illustrating this result are given.
Bibliography: 10 titles.

Keywords: control system, control system with discrete time, local controllability.

MSC: 49K15, 49J20, 49J40

Received: 25.10.2021 and 27.07.2022

DOI: 10.4213/sm9681

English version: Sbornik: Mathematics, 2022, 213:12, 1620–1644

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© Steklov Math. Inst. of RAS, 2024