Abstract—This paper proposes several definitions of “norm-observability” for nonlinear systems and explores relationships among them. These observability properties involve the existence of a bound on the norm of the state in terms of the norms of the output and the input on some time interval. A Lyapunov-like sufficient condition for norm-observability is also obtained. As an application, we prove several variants of LaSalle’s stability theorem for switched nonlinear systems. These results are demonstrated to be useful for control design in the presence of switching as well as for developing stability results of Popov type for switched feedback systems.
Nonlinear norm-observability notions and stability of switched systems / D. ANGELI; E. SONTAG; D. LIBERZON; J. HESPANHA. - In: IEEE TRANSACTIONS ON AUTOMATIC CONTROL. - ISSN 0018-9286. - STAMPA. - 50:(2005), pp. 154-168.
Nonlinear norm-observability notions and stability of switched systems
ANGELI, DAVID;
2005
Abstract
Abstract—This paper proposes several definitions of “norm-observability” for nonlinear systems and explores relationships among them. These observability properties involve the existence of a bound on the norm of the state in terms of the norms of the output and the input on some time interval. A Lyapunov-like sufficient condition for norm-observability is also obtained. As an application, we prove several variants of LaSalle’s stability theorem for switched nonlinear systems. These results are demonstrated to be useful for control design in the presence of switching as well as for developing stability results of Popov type for switched feedback systems.File | Dimensione | Formato | |
---|---|---|---|
IEEETACangelisontagliberzonhespanha.pdf
Accesso chiuso
Tipologia:
Versione finale referata (Postprint, Accepted manuscript)
Licenza:
Tutti i diritti riservati
Dimensione
528.92 kB
Formato
Adobe PDF
|
528.92 kB | Adobe PDF | Richiedi una copia |
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.