E. R. Avakov, G. G. Magaril-Il'yaev, “Controllability of an approximately defined control system”, Mat. Sb., 2024, Volume 215, Number 4,Pages <nobr>3–29</nobr>

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Mat. Sb., 2024 Volume 215, Number 4, Pages 3–29 (Mi sm9987)

Controllability of an approximately defined control system

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 Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences, Vladikavkaz, Russia

Abstract: We introduce the notion of controllability of a system of ordinary differential equations with respect to a prescribed function and present conditions that guarantee the controllability (with respect to this function) of both the original control system and all control systems close to it.
Bibliography: 10 titles.

Keywords: control system, perturbation, controllability, local controllability.

MSC: 93B05, 93C73

Received: 12.08.2023 and 12.01.2024

DOI: 10.4213/sm9987

English version: Sbornik: Mathematics, 2024, 215:4, 438–463

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© Steklov Math. Inst. of RAS, 2024