Free horizon Optimal Control Problems are studied where the cost functional is in the most general Bolza form. Sufficient second order conditions are given for the trajectory of a bang-bang regular Pontryagin extremal to be state locally optimal. The control system is control-affine and the controls take values in a polyhedron. The state space and the end points constraints are smooth finite-dimensional manifolds. The hypotheses made concern the positivity of the second variation of the finite-dimensional sub-problem obtained by perturbation of the switching times only and the injectivity of the reference trajectory

On local state optimality of bang-bang extremal / L. POGGIOLINI. - In: RENDICONTI DEL SEMINARIO MATEMATICO. - ISSN 0373-1243. - STAMPA. - 64:(2006), pp. 1-23.

On local state optimality of bang-bang extremal

POGGIOLINI, LAURA
2006

Abstract

Free horizon Optimal Control Problems are studied where the cost functional is in the most general Bolza form. Sufficient second order conditions are given for the trajectory of a bang-bang regular Pontryagin extremal to be state locally optimal. The control system is control-affine and the controls take values in a polyhedron. The state space and the end points constraints are smooth finite-dimensional manifolds. The hypotheses made concern the positivity of the second variation of the finite-dimensional sub-problem obtained by perturbation of the switching times only and the injectivity of the reference trajectory
64
1
23
L. POGGIOLINI
File in questo prodotto:
File Dimensione Formato  
2006-rendiconti_torino.pdf

Accesso chiuso

Tipologia: Versione finale referata (Postprint, Accepted manuscript)
Licenza: DRM non definito
Dimensione 185.25 kB
Formato Adobe PDF
185.25 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2158/218507
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 5
  • ???jsp.display-item.citation.isi??? ND
social impact