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

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

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. 
@article{VTAMU_2017_22_3_a1,
     author = {A. V. Gorbacheva and D. Yu. Karamzin},
     title = {Lipschitz continuity of the measure {Lagrange} multiplier from the maximum principle for optimal control problems with state constraints of equality and inequality type},
     journal = {Vestnik rossijskih universitetov. Matematika},
     pages = {508--516},
     publisher = {mathdoc},
     volume = {22},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTAMU_2017_22_3_a1/}
}
TY  - JOUR
AU  - A. V. Gorbacheva
AU  - D. Yu. Karamzin
TI  - Lipschitz continuity of the measure Lagrange multiplier from the maximum principle for optimal control problems with state constraints of equality and inequality type
JO  - Vestnik rossijskih universitetov. Matematika
PY  - 2017
SP  - 508
EP  - 516
VL  - 22
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VTAMU_2017_22_3_a1/
LA  - ru
ID  - VTAMU_2017_22_3_a1
ER  - 
%0 Journal Article
%A A. V. Gorbacheva
%A D. Yu. Karamzin
%T Lipschitz continuity of the measure Lagrange multiplier from the maximum principle for optimal control problems with state constraints of equality and inequality type
%J Vestnik rossijskih universitetov. Matematika
%D 2017
%P 508-516
%V 22
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VTAMU_2017_22_3_a1/
%G ru
%F VTAMU_2017_22_3_a1
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/