Factorization of multipliers in passivity and IQC analysis

Joaqun Carrasco; William P. Heath; Alexander Lanzon

doi:10.1016/j.automatica.2012.02.035

Factorization of multipliers in passivity and IQC analysis

Joaqun Carrasco, William P. Heath, Alexander Lanzon

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

Abstract

Multipliers are often used to find conditions for the absolute stability of Lur'e systems. They can be used either in conjunction with passivity theory or within the more recent framework of integral quadratic constraints (IQCs). We compare the use of multipliers in both approaches. Passivity theory requires that the multipliers have a canonical factorization and it has been suggested in the literature that this represents an advantage of the IQC theory. We consider sufficient conditions on the nonlinearity class for the associated multipliers to have a canonical factorization. © 2012 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	909-916
Number of pages	7
Journal	Automatica
Volume	48
Issue number	5
DOIs	https://doi.org/10.1016/j.automatica.2012.02.035
Publication status	Published - May 2012

Keywords

Absolute stability
Canonical factorization
IQC
Multipliers
Passivity

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abstract = "Multipliers are often used to find conditions for the absolute stability of Lur'e systems. They can be used either in conjunction with passivity theory or within the more recent framework of integral quadratic constraints (IQCs). We compare the use of multipliers in both approaches. Passivity theory requires that the multipliers have a canonical factorization and it has been suggested in the literature that this represents an advantage of the IQC theory. We consider sufficient conditions on the nonlinearity class for the associated multipliers to have a canonical factorization. {\textcopyright} 2012 Elsevier Ltd. All rights reserved.",

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AU - Heath, William P.

AU - Lanzon, Alexander

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AB - Multipliers are often used to find conditions for the absolute stability of Lur'e systems. They can be used either in conjunction with passivity theory or within the more recent framework of integral quadratic constraints (IQCs). We compare the use of multipliers in both approaches. Passivity theory requires that the multipliers have a canonical factorization and it has been suggested in the literature that this represents an advantage of the IQC theory. We consider sufficient conditions on the nonlinearity class for the associated multipliers to have a canonical factorization. © 2012 Elsevier Ltd. All rights reserved.

KW - Absolute stability

KW - Canonical factorization

KW - IQC

KW - Multipliers

KW - Passivity

U2 - 10.1016/j.automatica.2012.02.035

DO - 10.1016/j.automatica.2012.02.035

M3 - Article

SN - 0005-1098

VL - 48

SP - 909

EP - 916

JO - Automatica

JF - Automatica

IS - 5

ER -

Factorization of multipliers in passivity and IQC analysis

Abstract

Keywords

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