Geodesic
Necessary extremum conditions in the optimal control problem with state constraints
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 7, pp. 1123-1150 Cet article a éte moissonné depuis la source Math-Net.Ru

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The optimal control problem with state constraints is examined. An alternative to the available approaches to the study of this problem is proposed. The maximum principle and second-order necessary conditions are proved. 
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D. Yu. Karamzin. Necessary extremum conditions in the optimal control problem with state constraints. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 7, pp. 1123-1150. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_7_a1/

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