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 (Ēk(0), J̄k(0), L̄k(0), P̄k(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 (Ēk(0), J̄k(0), L̄k(0), P̄k(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.
Proceedings of the 1995 American Control Conference. Part 1 (of 6)
Seattle, WA, USA, null
1995
AACC
Rilevanza internazionale
1995
Settore ING-INF/04 - AUTOMATICA
English
Electrical and Electronic Engineering
Intervento a convegno
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].
Grasselli, Om; Longhi, S; Tornambe, A
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/193777
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