Preservation of properties in discrete-time systems under substitutions

Guillermo Fernández-Anaya; Jose Job Flores-Godoy; J. Jose Álvarez-Rami

doi:10.1002/asjc.114

Preservation of properties in discrete-time systems under substitutions

Guillermo Fernández-Anaya, Jose Job Flores-Godoy, J. Jose Álvarez-Rami

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

For discrete-time systems, using substitutions of the variable z by M₁ functions, we give results on preservation of stability, stabilization, positive real (PR), strictly positive real (SPR), bounded real (BR), and strictly bounded real (SBR) functions, along with the ℋ∞-norm. These results can be interpreted in the sense of robust control or uniform systems. Based on these properties, we present results about preservation of the SPR Lemma and absolute stability for discrete-time descriptor systems using linear matrix inequalities (LMIs) and substitutions.

Original language	English
Pages (from-to)	367-375
Number of pages	9
Journal	Asian Journal of Control
Volume	11
Issue number	4
DOIs	https://doi.org/10.1002/asjc.114
State	Published - Jul 2009
Externally published	Yes

Keywords

Discrete-time systems
M functions
Preservation of properties.
SPR and PR functions
Substitutions

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10.1002/asjc.114

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title = "Preservation of properties in discrete-time systems under substitutions",

abstract = "For discrete-time systems, using substitutions of the variable z by M1 functions, we give results on preservation of stability, stabilization, positive real (PR), strictly positive real (SPR), bounded real (BR), and strictly bounded real (SBR) functions, along with the ℋ∞-norm. These results can be interpreted in the sense of robust control or uniform systems. Based on these properties, we present results about preservation of the SPR Lemma and absolute stability for discrete-time descriptor systems using linear matrix inequalities (LMIs) and substitutions.",

keywords = "Discrete-time systems, M functions, Preservation of properties., SPR and PR functions, Substitutions",

author = "Guillermo Fern{\'a}ndez-Anaya and Flores-Godoy, {Jose Job} and {\'A}lvarez-Rami, {J. Jose}",

year = "2009",

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T1 - Preservation of properties in discrete-time systems under substitutions

AU - Fernández-Anaya, Guillermo

AU - Flores-Godoy, Jose Job

AU - Álvarez-Rami, J. Jose

PY - 2009/7

Y1 - 2009/7

N2 - For discrete-time systems, using substitutions of the variable z by M1 functions, we give results on preservation of stability, stabilization, positive real (PR), strictly positive real (SPR), bounded real (BR), and strictly bounded real (SBR) functions, along with the ℋ∞-norm. These results can be interpreted in the sense of robust control or uniform systems. Based on these properties, we present results about preservation of the SPR Lemma and absolute stability for discrete-time descriptor systems using linear matrix inequalities (LMIs) and substitutions.

AB - For discrete-time systems, using substitutions of the variable z by M1 functions, we give results on preservation of stability, stabilization, positive real (PR), strictly positive real (SPR), bounded real (BR), and strictly bounded real (SBR) functions, along with the ℋ∞-norm. These results can be interpreted in the sense of robust control or uniform systems. Based on these properties, we present results about preservation of the SPR Lemma and absolute stability for discrete-time descriptor systems using linear matrix inequalities (LMIs) and substitutions.

KW - Discrete-time systems

KW - M functions

KW - Preservation of properties.

KW - SPR and PR functions

KW - Substitutions

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DO - 10.1002/asjc.114

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SN - 1561-8625

VL - 11

SP - 367

EP - 375

JO - Asian Journal of Control

JF - Asian Journal of Control

IS - 4

ER -

Preservation of properties in discrete-time systems under substitutions

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Keywords

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