Recently Azou et al. proposed a method of model reduction for discrete systems based on a new impulse response Gramian. The reduced model was derived by first approximating the low-order impulse response Gramian, and then matching some Markov parameters and time-moments of an original model. In this note a modified method is presented so that the reduced model exactly preserves the low-order impulse response Gramian together with a slightly different set of Markov parameters and time-moments of the original model.
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Younseok CHOO, "A Note on Discrete-System Reduction via Impulse Response Gramian" in IEICE TRANSACTIONS on Fundamentals,
vol. E88-A, no. 2, pp. 599-601, February 2005, doi: 10.1093/ietfec/e88-a.2.599.
Abstract: Recently Azou et al. proposed a method of model reduction for discrete systems based on a new impulse response Gramian. The reduced model was derived by first approximating the low-order impulse response Gramian, and then matching some Markov parameters and time-moments of an original model. In this note a modified method is presented so that the reduced model exactly preserves the low-order impulse response Gramian together with a slightly different set of Markov parameters and time-moments of the original model.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e88-a.2.599/_p
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@ARTICLE{e88-a_2_599,
author={Younseok CHOO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Note on Discrete-System Reduction via Impulse Response Gramian},
year={2005},
volume={E88-A},
number={2},
pages={599-601},
abstract={Recently Azou et al. proposed a method of model reduction for discrete systems based on a new impulse response Gramian. The reduced model was derived by first approximating the low-order impulse response Gramian, and then matching some Markov parameters and time-moments of an original model. In this note a modified method is presented so that the reduced model exactly preserves the low-order impulse response Gramian together with a slightly different set of Markov parameters and time-moments of the original model.},
keywords={},
doi={10.1093/ietfec/e88-a.2.599},
ISSN={},
month={February},}
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TY - JOUR
TI - A Note on Discrete-System Reduction via Impulse Response Gramian
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 599
EP - 601
AU - Younseok CHOO
PY - 2005
DO - 10.1093/ietfec/e88-a.2.599
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E88-A
IS - 2
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - February 2005
AB - Recently Azou et al. proposed a method of model reduction for discrete systems based on a new impulse response Gramian. The reduced model was derived by first approximating the low-order impulse response Gramian, and then matching some Markov parameters and time-moments of an original model. In this note a modified method is presented so that the reduced model exactly preserves the low-order impulse response Gramian together with a slightly different set of Markov parameters and time-moments of the original model.
ER -