By means of Hamiltonian methods we give sufficient conditions for the strong local optimality of a Pontryagin extremal for a Mayer problem where both the end points of admissible trajectories are constrained to smooth manifolds of the state space. The extremal is given by the concatenation of two bang arcs and a partially singular one. Our sufficient conditions amount to regularity conditions on the extremal and the coercivity of a suitable quadratic form.
Constrained bang-bang-singular extremals / Laura Poggiolini; Gianna Stefani. - ELETTRONICO. - 2019:(2019), pp. 1462-1467. (Intervento presentato al convegno 58th Conference on Decision and Control tenutosi a Nice, France nel December 11th-13th 2019) [10.1109/CDC40024.2019.9029814].
Constrained bang-bang-singular extremals
Laura Poggiolini
;Gianna Stefani
2019
Abstract
By means of Hamiltonian methods we give sufficient conditions for the strong local optimality of a Pontryagin extremal for a Mayer problem where both the end points of admissible trajectories are constrained to smooth manifolds of the state space. The extremal is given by the concatenation of two bang arcs and a partially singular one. Our sufficient conditions amount to regularity conditions on the extremal and the coercivity of a suitable quadratic form.
| File | Dimensione | Formato | |
|---|---|---|---|
|
2019_CDC_Nice.pdf
Accesso chiuso
Tipologia:
Pdf editoriale (Version of record)
Licenza:
Tutti i diritti riservati
Dimensione
307.6 kB
Formato
Adobe PDF
|
307.6 kB | Adobe PDF | Richiedi una copia |
|
2019-08-27-upload.pdf
accesso aperto
Tipologia:
Versione finale referata (Postprint, Accepted manuscript)
Licenza:
Tutti i diritti riservati
Dimensione
270.74 kB
Formato
Adobe PDF
|
270.74 kB | Adobe PDF |
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
