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Necessary optimality conditions for a smooth discrete optimal control problem with vector-valued objective function. (Russian. English summary) Zbl 1180.49018

Summary: The paper deals with a nonlinear discrete optimal control problem with a vector-valued objective function of terminal type. For admissible controls which satisfy the additional Lyusternik-type regularity condition, first and second necessary optimality conditions extending such classical optimality conditions as the Euler condition and the nonnegativity of second variation are proved.

MSC:

49K10 Optimality conditions for free problems in two or more independent variables
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