E. R. Avakov, G. G. Magaril-Il'yaev, “Local controllability and optimality”, Mat. Sb., 2021, Volume 212, Number 7,Pages <nobr>3

This article is cited in 3 papers

Local controllability and optimality

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 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: The concept of local controllability is introduced for a dynamical system; sufficient conditions for such controllability are presented. As a consequence, necessary conditions for a local infimum in an optimal control problem are obtained. These strengthen Pontryagin's maximum principle and extend it to more general classes of problems.
Bibliography: 8 titles.

Keywords: local controllability, local infimum, convex system, maximum principle.

UDC: 517.977.52

MSC: 49K15

Received: 29.04.2020 and 20.03.2021

DOI: 10.4213/sm9434