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  • Relaxation methods for optimal control problems
    Papageorgiou, Nikolaos, 1958- ; Rǎdulescu, Vicenţiu, 1958- ; Repovš, Dušan, 1954-
    We consider a nonlinear optimal control problem with dynamics described by a differential inclusion involving a maximal monotone map ▫$A \colon \mathbb{R}^N \to 2^{\mathbb{R}^N}$▫. We do not assume ... that ▫$D(A) = \mathbb{R}^N$▫, incorporating in this way systems with unilateral constraints in our framework. We present two relaxation methods. The first one is an outgrowth of the reduction method from the existence theory, while the second method uses Young measures. We show that the two relaxation methods are equivalent and admissible.
    Vir: Bulletin of mathematical sciences. - ISSN 1664-3607 (Vol. 10, iss. 1, Apr. 2020, art. 2050004 (24 str.))
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2020
    Jezik - angleški
    COBISS.SI-ID - 18921817

vir: Bulletin of mathematical sciences. - ISSN 1664-3607 (Vol. 10, iss. 1, Apr. 2020, art. 2050004 (24 str.))
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