Relaxation methods for optimal control problems
Povzetek
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.
Ključne besede
admissible relaxation;maximal monotone map;Young measure;convex conjugate;weak norm;
Podatki
| Jezik: | Angleški jezik |
|---|---|
| Leto izida: | 2020 |
| Tipologija: | 1.01 - Izvirni znanstveni članek |
| Organizacija: | UL FMF - Fakulteta za matematiko in fiziko |
| UDK: | 517.91 |
| COBISS: |
18921817
|
| ISSN: | 1664-3607 |
| Št. ogledov: | 429 |
| Št. prenosov: | 221 |
| Ocena: | 0 (0 glasov) |
| Metapodatki: |
|
Ostali podatki
| Vrsta dela (COBISS): | Članek v reviji |
|---|---|
| Strani: | art. 2050004 (24 str.) |
| Letnik: | ǂVol. ǂ10 |
| Zvezek: | ǂiss. ǂ1 |
| Čas izdaje: | Apr. 2020 |
| DOI: | 10.1142/S1664360720500046 |
| ID: | 11763960 |
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