The large amount of contributions on linear periodic discrete-time systems is motivated by the variety of processes that can be modeled by linear periodic differences equations. Some of these contributions are based on time-invariant descriptions of system. This paper shows that the quadruplet (Äk(0), JÌk(0), LÌk(0), PÌk(0) thus obtained coincides with the quadruplet (Ek(0), Jk(0), Lk(0), Pk(0)), within a nonsingular coordinate transformation in the state space, so that the application of the standard Rosenbrock's strict system equivalence technique can be seen as different way of obtaining the associated system at time k0 system.
Grasselli, O.m., Longhi, S., Tornambe, A. (1995). On the computation of the time-invariant associated system of a periodic system. In Proceedings of the American Control Conference (pp.574-575) [10.1109/ACC.1995.529313].
On the computation of the time-invariant associated system of a periodic system
Grasselli, Osvaldo Maria;Tornambe, Antonio
1995-01-01
Abstract
The large amount of contributions on linear periodic discrete-time systems is motivated by the variety of processes that can be modeled by linear periodic differences equations. Some of these contributions are based on time-invariant descriptions of system. This paper shows that the quadruplet (Äk(0), JÌk(0), LÌk(0), PÌk(0) thus obtained coincides with the quadruplet (Ek(0), Jk(0), Lk(0), Pk(0)), within a nonsingular coordinate transformation in the state space, so that the application of the standard Rosenbrock's strict system equivalence technique can be seen as different way of obtaining the associated system at time k0 system.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
