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

Abstract

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.

Keywords

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

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
UDC: 517.951/.952
COBISS: 17696089 Link will open in a new window
ISSN: 2191-9496
Views: 401
Downloads: 308
Average score: 0 (0 votes)
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Other data

Type (COBISS): Article
Pages: str. 199-235
Volume: ǂVol. ǂ6
Issue: ǂiss. ǂ2
Chronology: 2017
DOI: 10.1515/anona-2016-0096
ID: 11221182