SPR0 substitutions and families of algebraic Riccati equations

G. Fernández-Anaya; J. C. Martínez García; Vladimír Kučera; D. Aguilar George

Kybernetika (2006)

  • Volume: 42, Issue: 5, page 605-616
  • ISSN: 0023-5954

Abstract

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We study in this paper Algebraic Riccati Equations associated with single-input single-output linear time-invariant systems bounded in H ∞ -norm. Our study is focused in the characterization of families of Algebraic Riccati Equations in terms of strictly positive real (of zero relative degree) substitutions applied to the associated H ∞ -norm bounded system, each substitution characterizing then a particular member of the family. We also consider here Algebraic Riccati Equations associated with systems characterized by both an H ∞ -norm constraint and an upper bound on their corresponding McMillan degree.

How to cite

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Fernández-Anaya, G., et al. "SPR0 substitutions and families of algebraic Riccati equations." Kybernetika 42.5 (2006): 605-616. <http://eudml.org/doc/33827>.

@article{Fernández2006,
abstract = {We study in this paper Algebraic Riccati Equations associated with single-input single-output linear time-invariant systems bounded in $H_\{\infty \}$-norm. Our study is focused in the characterization of families of Algebraic Riccati Equations in terms of strictly positive real (of zero relative degree) substitutions applied to the associated $H_\{\infty \}$-norm bounded system, each substitution characterizing then a particular member of the family. We also consider here Algebraic Riccati Equations associated with systems characterized by both an $H_\{\infty \}$-norm constraint and an upper bound on their corresponding McMillan degree.},
author = {Fernández-Anaya, G., Martínez García, J. C., Kučera, Vladimír, Aguilar George, D.},
journal = {Kybernetika},
keywords = {linear time invariant systems; positive real substitutions; properties preservation; algebraic Riccati equations; $H_\{\infty \}$-norm bounded systems; linear time invariant system; positive real substitution; properties preservation; algebraic Riccati equation; -norm bounded systems},
language = {eng},
number = {5},
pages = {605-616},
publisher = {Institute of Information Theory and Automation AS CR},
title = {SPR0 substitutions and families of algebraic Riccati equations},
url = {http://eudml.org/doc/33827},
volume = {42},
year = {2006},
}

TY - JOUR
AU - Fernández-Anaya, G.
AU - Martínez García, J. C.
AU - Kučera, Vladimír
AU - Aguilar George, D.
TI - SPR0 substitutions and families of algebraic Riccati equations
JO - Kybernetika
PY - 2006
PB - Institute of Information Theory and Automation AS CR
VL - 42
IS - 5
SP - 605
EP - 616
AB - We study in this paper Algebraic Riccati Equations associated with single-input single-output linear time-invariant systems bounded in $H_{\infty }$-norm. Our study is focused in the characterization of families of Algebraic Riccati Equations in terms of strictly positive real (of zero relative degree) substitutions applied to the associated $H_{\infty }$-norm bounded system, each substitution characterizing then a particular member of the family. We also consider here Algebraic Riccati Equations associated with systems characterized by both an $H_{\infty }$-norm constraint and an upper bound on their corresponding McMillan degree.
LA - eng
KW - linear time invariant systems; positive real substitutions; properties preservation; algebraic Riccati equations; $H_{\infty }$-norm bounded systems; linear time invariant system; positive real substitution; properties preservation; algebraic Riccati equation; -norm bounded systems
UR - http://eudml.org/doc/33827
ER -

References

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