Relaxation methods for optimal control problems

Papageorgiou, Nikolaos S.; Rǎdulescu, Vicenţiu; Repovš, Dušan

Podrobno

Relaxation methods for optimal control problems
ID Papageorgiou, Nikolaos S. (Avtor), ID Rǎdulescu, Vicenţiu (Avtor), ID Repovš, Dušan (Avtor)

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Izvleček

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.

Jezik:	Angleški jezik
Ključne besede:	admissible relaxation, maximal monotone map, Young measure, convex conjugate, weak norm
Vrsta gradiva:	Članek v reviji
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	PEF - Pedagoška fakulteta FMF - Fakulteta za matematiko in fiziko
Leto izida:	2020
Št. strani:	art. 2050004 (24 str.)
Številčenje:	Vol. 10, iss. 1
PID:	20.500.12556/RUL-116487
UDK:	517.91
ISSN pri članku:	1664-3607
DOI:	10.1142/S1664360720500046
COBISS.SI-ID:	18921817
Datum objave v RUL:	25.05.2020
Število ogledov:	1268
Število prenosov:	396
Metapodatki:
:	PAPAGEORGIOU, Nikolaos S., RǍDULESCU, Vicenţiu in REPOVŠ, Dušan, 2020, Relaxation methods for optimal control problems. Bulletin of mathematical sciences [na spletu]. 2020. Vol. 10, no. 1. [Dostopano 13 april 2025]. DOI 10.1142/S1664360720500046. Pridobljeno s: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=slv&id=116487 Kopiraj citat
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Gradivo je del revije

Naslov:	Bulletin of mathematical sciences
Skrajšan naslov:	Bull. math. sci.
Založnik:	Springer International Publishing
ISSN:	1664-3607
COBISS.SI-ID:	18343257

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