Relaxation methods for optimal control problems

Papageorgiou, Nikolaos S. (avtor), Rǎdulescu, Vicenţiu (avtor), Repovš, Dušan (avtor)

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

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