Local controllability and the boundary of the attainable set of a control system
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.
Authors
- Georgii Georgievich Magaril-Il'yaev (ORCID: https://orcid.org/0000-0003-4960-8255)
- E. R. Avakov (ORCID: https://orcid.org/0000-0002-6951-2106)
Institutions
- Lomonosov Moscow State University (RU)
- Institute for Information Transmission Problems (RU)
- Federal State Budgetary Institution of Science Federal Scientific Center "Vladikavkaz Scientific Center of the Russian Academy of Sciences" (RU)
- V. A. Trapeznikov Institute of Control Sciences (RU)
Publication Details
- Journal
- Sbornik Mathematics
- Published
- 2025-01-01
- DOI
- https://doi.org/10.4213/sm10197e
- Primary Topic
- Mathematical Control Systems and Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00