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Strong Local Minimizers in Optimal Control Problems with State Constraints: Second-Order Necessary Conditions
Author(s) -
Hélène Frankowska,
Nikolai P. Osmolovskii
Publication year - 2018
Publication title -
siam journal on control and optimization
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.486
H-Index - 116
eISSN - 1095-7138
pISSN - 0363-0129
DOI - 10.1137/17m1160604
Subject(s) - mathematics , differential inclusion , tangent cone , state (computer science) , linearization , maxima and minima , tangent , optimal control , regular polygon , order (exchange) , constraint (computer aided design) , mathematical optimization , mathematical analysis , nonlinear system , geometry , algorithm , physics , finance , quantum mechanics , economics
This paper is devoted to second-order necessary optimality conditions for strong local minima for a Mayer type optimal control problem with a general control constraint $U \subset {\mathbb R}^m$, a...

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