Balanced reduction of linear periodic systems

Sauro Longhi; Giuseppe Orlando

Kybernetika (1999)

  • Volume: 35, Issue: 6, page [737]-751
  • ISSN: 0023-5954

Abstract

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For linear periodic discrete-time systems the analysis of the model error introduced by a truncation on the balanced minimal realization is performed, and a bound for the infinity norm of the model error is introduced. The results represent an extension to the periodic systems of the well known results on the balanced truncation for time-invariant systems. The general case of periodically time-varying state-space dimension has been considered.

How to cite

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Longhi, Sauro, and Orlando, Giuseppe. "Balanced reduction of linear periodic systems." Kybernetika 35.6 (1999): [737]-751. <http://eudml.org/doc/33459>.

@article{Longhi1999,
abstract = {For linear periodic discrete-time systems the analysis of the model error introduced by a truncation on the balanced minimal realization is performed, and a bound for the infinity norm of the model error is introduced. The results represent an extension to the periodic systems of the well known results on the balanced truncation for time-invariant systems. The general case of periodically time-varying state-space dimension has been considered.},
author = {Longhi, Sauro, Orlando, Giuseppe},
journal = {Kybernetika},
keywords = {balanced truncation; linear periodic system; model error; infinity norm; balanced truncation; linear periodic system; model error; infinity norm},
language = {eng},
number = {6},
pages = {[737]-751},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Balanced reduction of linear periodic systems},
url = {http://eudml.org/doc/33459},
volume = {35},
year = {1999},
}

TY - JOUR
AU - Longhi, Sauro
AU - Orlando, Giuseppe
TI - Balanced reduction of linear periodic systems
JO - Kybernetika
PY - 1999
PB - Institute of Information Theory and Automation AS CR
VL - 35
IS - 6
SP - [737]
EP - 751
AB - For linear periodic discrete-time systems the analysis of the model error introduced by a truncation on the balanced minimal realization is performed, and a bound for the infinity norm of the model error is introduced. The results represent an extension to the periodic systems of the well known results on the balanced truncation for time-invariant systems. The general case of periodically time-varying state-space dimension has been considered.
LA - eng
KW - balanced truncation; linear periodic system; model error; infinity norm; balanced truncation; linear periodic system; model error; infinity norm
UR - http://eudml.org/doc/33459
ER -

References

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