Generalized Needles and Second-Order Conditions in Optimal Control
Informatics and Automation, Optimal control and differential equations, Tome 304 (2019), pp. 15-31

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Using generalized needle variations, we derive second-order necessary optimality conditions for a strong minimum in an optimal control problem with endpoint constraints of general form.
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     author = {E. R. Avakov and G. G. Magaril-Il'yaev},
     title = {Generalized {Needles} and {Second-Order} {Conditions} in {Optimal} {Control}},
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E. R. Avakov; G. G. Magaril-Il'yaev. Generalized Needles and Second-Order Conditions in Optimal Control. Informatics and Automation, Optimal control and differential equations, Tome 304 (2019), pp. 15-31. http://geodesic.mathdoc.fr/item/TRSPY_2019_304_a1/