Geodesic
Local controllability and optimality
Sbornik. Mathematics, Tome 212 (2021) no. 7, pp. 887-920

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

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, convex system, maximum principle.
Mots-clés : local infimum 
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E. R. Avakov; G. G. Magaril-Il'yaev. Local controllability and optimality. Sbornik. Mathematics, Tome 212 (2021) no. 7, pp. 887-920. http://geodesic.mathdoc.fr/item/SM_2021_212_7_a0/