This paper gives sufficient conditions for a class of bang-bang extremals with multiple switches to be locally optimal in the strong topology. The conditions are the natural generalizations of those considered in [A. A. Agrachev, G. Stefani, and P. Zezza, SIAM J. Control Optim., 41 (2002), pp. 991–1014], [L. Poggiolini, Rend. Semin. Mat. Univ. Politec. Torino, 64 (2006), pp. 1–23], and [L. Poggiolini and G. Stefani, Systems Control Lett., 53 (2004), pp. 269–279]. We require both the strict bang-bang Legendre condition and the second order conditions for the finite dimensional problem obtained by moving the switching times of the reference trajectory.

Strong local optimality for a bang-bang trajectory in a Mayer problem / L. Poggiolini; M. Spadini. - In: SIAM JOURNAL ON CONTROL AND OPTIMIZATION. - ISSN 0363-0129. - STAMPA. - 49(2011), pp. 140-161. [10.1137/090771405]

Strong local optimality for a bang-bang trajectory in a Mayer problem

POGGIOLINI, LAURA;SPADINI, MARCO
2011

Abstract

This paper gives sufficient conditions for a class of bang-bang extremals with multiple switches to be locally optimal in the strong topology. The conditions are the natural generalizations of those considered in [A. A. Agrachev, G. Stefani, and P. Zezza, SIAM J. Control Optim., 41 (2002), pp. 991–1014], [L. Poggiolini, Rend. Semin. Mat. Univ. Politec. Torino, 64 (2006), pp. 1–23], and [L. Poggiolini and G. Stefani, Systems Control Lett., 53 (2004), pp. 269–279]. We require both the strict bang-bang Legendre condition and the second order conditions for the finite dimensional problem obtained by moving the switching times of the reference trajectory.
49
140
161
L. Poggiolini; M. Spadini
File in questo prodotto:
File Dimensione Formato  
2011-sicon-doppio.pdf

Accesso chiuso

Tipologia: Pdf editoriale (Version of record)
Licenza: DRM non definito
Dimensione 298.07 kB
Formato Adobe PDF
298.07 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/2158/395233
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 20
  • ???jsp.display-item.citation.isi??? 17
social impact