Necessary Conditions for Implicit and DAE Control Systems

Abstract : Necessary conditions for optimal control problems involving implicit control systems and with possible nonsmooth data has been derived under bounded slope conditions in [1]. Here, we investigate how such conditions apply to various particular cases of implicit control systems. In particular, we extend the analysis in [3], where application to some optimal control problems with semi-explicit Differential Algebraic Equations (DAE's) are explored. Noteworthy, we consider DAE's systems with index higher then 1. We go a step further and we extend necessary conditions for mixed constrained problem derived in [3] under interiority conditions and convexity of the velocity sets can to cover implicit control systems.
Type de document :
Documents associés à des manifestations scientifiques -- Hal-inria+
NETCO 2014 - New Trends in Optimal Control, Jun 2014, Tours, France
Liste complète des métadonnées

https://hal.inria.fr/hal-01024782
Contributeur : Hasnaa Zidani <>
Soumis le : mercredi 16 juillet 2014 - 16:23:40
Dernière modification le : lundi 21 mars 2016 - 11:30:11
Document(s) archivé(s) le : lundi 24 novembre 2014 - 16:46:04

Fichier

dePinho-NETCO2014.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : hal-01024782, version 1

Collections

Citation

Maria Do Rosário De Pinho. Necessary Conditions for Implicit and DAE Control Systems. NETCO 2014 - New Trends in Optimal Control, Jun 2014, Tours, France. 〈hal-01024782〉

Partager

Métriques

Consultations de la notice

94

Téléchargements de fichiers

45