It is known that discrete-time singularly perturbed (DSP) dynamics do not exhibit a unique canonical representation. A study in the linear context is developed in Naidu and Rao (1958), Naidu (1988) and Mahmoud (1982) with respect to discrete-time and sampled dynamics showing that at least three different normal forms can be assumed for representing a linear discrete time singularly perturbed system (linear DSPS). Starting from the generalization of these concepts to a nonlinear context, the present work studies the properties for the existence of a nonlinear column-form representation of a nonlinear DSPS
About a normal "Column form" for nonlinear discrete-time perturbed control systems / Barbot, J. P.; Monaco, Salvatore; Normand Cyrot, D.. - STAMPA. - 1:(1993), pp. 883-888. (Intervento presentato al convegno 32nd IEEE Conference on Decision and Control tenutosi a SAn Antonio nel 17-17 December 1993) [10.1109/CDC.1993.325020].
About a normal "Column form" for nonlinear discrete-time perturbed control systems
MONACO, Salvatore;
1993
Abstract
It is known that discrete-time singularly perturbed (DSP) dynamics do not exhibit a unique canonical representation. A study in the linear context is developed in Naidu and Rao (1958), Naidu (1988) and Mahmoud (1982) with respect to discrete-time and sampled dynamics showing that at least three different normal forms can be assumed for representing a linear discrete time singularly perturbed system (linear DSPS). Starting from the generalization of these concepts to a nonlinear context, the present work studies the properties for the existence of a nonlinear column-form representation of a nonlinear DSPSI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
