TY - JOUR
T1 - A discrete stability equation theorem and method of stable model reduction
AU - Bistritz, Y.
PY - 1982
Y1 - 1982
N2 - A method to derive stable reduced-order models for a stable discrete-time invariant system is presented. The method is based on a unit circle stability criterion. This criterion is the r-plane equivalent of a stability criterion for continuous time systems and is proven by using the bilinear transformation. The resulting model reduction method forms the discrete analogue of the stability equation and Michailov's methods for the simplification of continous time systems, that were recently suggested in various, closely related, versions.
AB - A method to derive stable reduced-order models for a stable discrete-time invariant system is presented. The method is based on a unit circle stability criterion. This criterion is the r-plane equivalent of a stability criterion for continuous time systems and is proven by using the bilinear transformation. The resulting model reduction method forms the discrete analogue of the stability equation and Michailov's methods for the simplification of continous time systems, that were recently suggested in various, closely related, versions.
KW - Discrete modelling
KW - Model reduction
KW - Unit circle stability criterion
UR - http://www.scopus.com/inward/record.url?scp=0006464813&partnerID=8YFLogxK
U2 - 10.1016/S0167-6911(82)80049-2
DO - 10.1016/S0167-6911(82)80049-2
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AN - SCOPUS:0006464813
SN - 0167-6911
VL - 1
SP - 373
EP - 381
JO - Systems and Control Letters
JF - Systems and Control Letters
IS - 6
ER -