Work

Local controllability and the boundary of the attainable set of a control system

Year: 2025

Type: article

Abstract: Given a control system of ordinary differential equations, the attainable set of trajectories admissible for it with respect to certain maps is defined. The aim of the work is to state necessary and sufficient conditions describing boundary points of this set. Interesting examples are considered, which illustrate the results obtained. Bibliography: 11 titles.

Source: Sbornik Mathematics

DOI: 10.4213/sm10197e

Authors: Evgeny Rachievich Avakov, Georgii Georgievich Magaril-Il'yaev

Institutions: V. A. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Lomonosov Moscow State University, Institute for Information Transmission Problems, Federal State Budgetary Institution of Science Federal Scientific Center "Vladikavkaz Scientific Center of the Russian Academy of Sciences"

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4410387240

FWCI:

Cites: 9

Cited by:

Related to: 10