Article Dans Une Revue Mathematical Programming Année : 2018

Optimal Control of Infinite Dimensional Bilinear Systems: Application to the Heat and Wave Equations

Résumé

In this paper we consider second order optimality conditions for a bilinear optimal control problem governed by a strongly continuous semigroup operator, the control entering linearly in the cost function. We derive first and second order optimality conditions, taking advantage of the Goh transform. We then apply the results to the heat and wave equations.

Fichier principal
Vignette du fichier
ABK-partone-HAL-v2.pdf (877.51 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence
Loading...

Dates et versions

hal-01273496 , version 1 (12-02-2016)
hal-01273496 , version 2 (05-09-2016)

Licence

Identifiants

  • HAL Id : hal-01273496 , version 2

Citer

Maria Soledad Aronna, Joseph Fréderic Bonnans, Axel Kröner. Optimal Control of Infinite Dimensional Bilinear Systems: Application to the Heat and Wave Equations. Mathematical Programming, 2018, 168 (1-2), pp.717-757. ⟨hal-01273496v2⟩
1591 Consultations
1258 Téléchargements

Partager

  • More