Abstract
The problem of minimal state space realization of two-dimensional systems is considered. The approach followed is, initially, to derive a circuit realization of the given transfer function involving a minimum number of delay elements. To facilitate this realization, the transfer function is expanded into a continued fraction. Using this circuit realization, an algorithm is proposed which readily provides the matrices of the state space model. The simplicity in deriving this model is due to a novel state space model introduced, which is of cyclic structure. Several examples are presented to illustrate the proposed algorithm.
| Original language | English |
|---|---|
| Pages (from-to) | 491-511 |
| Number of pages | 21 |
| Journal | International Journal of Electronics |
| Volume | 74 |
| Issue number | 4 |
| DOIs | |
| State | Published - Apr 1993 |
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Minimal realization of two-dimensional systems via a state space cyclic model. / Paraskevopoulos, P. N.; Antoniou, G. E.
In: International Journal of Electronics, Vol. 74, No. 4, 04.1993, p. 491-511.Research output: Contribution to journal › Article
TY - JOUR
T1 - Minimal realization of two-dimensional systems via a state space cyclic model
AU - Paraskevopoulos, P. N.
AU - Antoniou, G. E.
PY - 1993/4
Y1 - 1993/4
N2 - The problem of minimal state space realization of two-dimensional systems is considered. The approach followed is, initially, to derive a circuit realization of the given transfer function involving a minimum number of delay elements. To facilitate this realization, the transfer function is expanded into a continued fraction. Using this circuit realization, an algorithm is proposed which readily provides the matrices of the state space model. The simplicity in deriving this model is due to a novel state space model introduced, which is of cyclic structure. Several examples are presented to illustrate the proposed algorithm.
AB - The problem of minimal state space realization of two-dimensional systems is considered. The approach followed is, initially, to derive a circuit realization of the given transfer function involving a minimum number of delay elements. To facilitate this realization, the transfer function is expanded into a continued fraction. Using this circuit realization, an algorithm is proposed which readily provides the matrices of the state space model. The simplicity in deriving this model is due to a novel state space model introduced, which is of cyclic structure. Several examples are presented to illustrate the proposed algorithm.
UR - http://www.scopus.com/inward/record.url?scp=0027578381&partnerID=8YFLogxK
U2 - 10.1080/00207219308925853
DO - 10.1080/00207219308925853
M3 - Article
AN - SCOPUS:0027578381
VL - 74
SP - 491
EP - 511
JO - International Journal of Electronics
JF - International Journal of Electronics
SN - 0020-7217
IS - 4
ER -