Geodesic
Relaxation and controllability in optimal control problems
Sbornik. Mathematics, Tome 208 (2017) no. 5, pp. 585-619 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper is concerned with the relationships between necessary minimum conditions in an optimal control problem, minimum conditions in the corresponding relaxed problem and sufficient conditions for local controllability of the system. The results obtained are applied to a fairly general optimal control problem. Bibliography: 7 titles.
Keywords: optimal control, Pontryagin maximum principle, controllability, regularity, relaxation, mix of controls. 
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E. R. Avakov; G. G. Magaril-Il'yaev. Relaxation and controllability in optimal control problems. Sbornik. Mathematics, Tome 208 (2017) no. 5, pp. 585-619. http://geodesic.mathdoc.fr/item/SM_2017_208_5_a0/

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