Geodesic
Lipschitz continuity of the measure Lagrange multiplier from the maximum principle for optimal control problems with state constraints of equality and inequality type
Vestnik rossijskih universitetov. Matematika, Tome 22 (2017) no. 3, pp. 508-516 Cet article a éte moissonné depuis la source Math-Net.Ru

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Properties of regular extremals in optimal control problems with equality and inequality state constraints are studied. It is proved that, under the regularity conditions, the strengthened Legendre condition implies Lipschitz continuity of the measure Lagrange multiplier from the maximum principle.
Keywords: optimal control, maximum principle, state constraints
Mots-clés : Legendre condition. 
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A. V. Gorbacheva; D. Yu. Karamzin. Lipschitz continuity of the measure Lagrange multiplier from the maximum principle for optimal control problems with state constraints of equality and inequality type. Vestnik rossijskih universitetov. Matematika, Tome 22 (2017) no. 3, pp. 508-516. http://geodesic.mathdoc.fr/item/VTAMU_2017_22_3_a1/

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[2] A. V. Gorbacheva, “The continuity of the measure lagrange-multiplier from the maximum principle for an optimal control problem with equality and inequality state constraints under weak regularity conditions of the extremal process”, Tambov University Reports. Series: Natural and Technical Sciences, 21:1 (2016), 28–39 (In Russian)

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