Geodesic
Local controllability and the boundary of the attainable set of a~control system
Sbornik. Mathematics, Tome 216 (2025) no. 3, pp. 273-291

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Keywords: control system, controllability, boundary of the attainable set. 
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E. R. Avakov; G. G. Magaril-Il'yaev. Local controllability and the boundary of the attainable set of a~control system. Sbornik. Mathematics, Tome 216 (2025) no. 3, pp. 273-291. http://geodesic.mathdoc.fr/item/SM_2025_216_3_a2/