Nikolaos Socrates Papageorgiou (Avtor), Vicenţiu Rǎdulescu (Avtor), Dušan Repovš (Avtor)

Povzetek

We consider a nonlinear optimal control problem governed by a nonlinear evolution inclusion and depending on a parameter ▫$\lambda$▫. First we examine the dynamics of the problem and establish the nonemptiness of the solution set and produce continuous selections of the solution multifunction ▫$\xi \mapsto S(\xi)$▫ (▫$\xi$▫ being the initial condition). These results are proved in a very general framework and are of independent interest as results about evolution inclusions. Then we use them to study the sensitivity properties of the optimal control problem. We show that we have Hadamard well-posedness (continuity of the value function), and we establish the continuity properties of the optimal multifunction. Finally, we present an application on a nonlinear parabolic distributed parameter system.

Ključne besede

evolution triple;evolution inclusion;PG and G convergence;compact embedding;Hadamard well-posedness;

Podatki

Jezik: Angleški jezik
Leto izida:
Tipologija: 1.01 - Izvirni znanstveni članek
Organizacija: UL FMF - Fakulteta za matematiko in fiziko
UDK: 517.951/.952
COBISS: 17696089 Povezava se bo odprla v novem oknu
ISSN: 2191-9496
Št. ogledov: 401
Št. prenosov: 308
Ocena: 0 (0 glasov)
Metapodatki: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Ostali podatki

Vrsta dela (COBISS): Članek v reviji
Strani: str. 199-235
Letnik: ǂVol. ǂ6
Zvezek: ǂiss. ǂ2
Čas izdaje: 2017
DOI: 10.1515/anona-2016-0096
ID: 11221182