Geodesic
Local infimum and a family of maximum principles in optimal control
Sbornik. Mathematics, Tome 211 (2020) no. 6, pp. 750-785 Cet article a éte moissonné depuis la source Math-Net.Ru

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The notion of a local infimum for the optimal control problem, which generalizes the notion of an optimal trajectory, is introduced. For a local infimum the existence theorem is proved and necessary conditions in the form of a family of ‘maximum principles’ are derived. The meaningfulness of the necessary conditions, which generalize and strengthen Pontryagin's maximum principle, is illustrated by examples. Bibliography: 9 titles.
Keywords: optimal trajectory, maximum principle, sliding regime.
Mots-clés : local infimum 
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E. R. Avakov; G. G. Magaril-Il'yaev. Local infimum and a family of maximum principles in optimal control. Sbornik. Mathematics, Tome 211 (2020) no. 6, pp. 750-785. http://geodesic.mathdoc.fr/item/SM_2020_211_6_a0/

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