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Factorization of multipliers in passivity and IQC analysis

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Factorization of multipliers in passivity and IQC analysis. / Carrasco, J.; Heath, W.P.; Lanzon, A.
In: Automatica, Vol. 48, No. 5, 01.05.2012, p. 909-916.

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

HarvardHarvard

Carrasco, J, Heath, WP & Lanzon, A 2012, 'Factorization of multipliers in passivity and IQC analysis', Automatica, vol. 48, no. 5, pp. 909-916. https://doi.org/10.1016/j.automatica.2012.02.035

APA

Carrasco, J., Heath, W. P., & Lanzon, A. (2012). Factorization of multipliers in passivity and IQC analysis. Automatica, 48(5), 909-916. https://doi.org/10.1016/j.automatica.2012.02.035

CBE

Carrasco J, Heath WP, Lanzon A. 2012. Factorization of multipliers in passivity and IQC analysis. Automatica. 48(5):909-916. https://doi.org/10.1016/j.automatica.2012.02.035

MLA

Carrasco, J., W.P. Heath and A. Lanzon. "Factorization of multipliers in passivity and IQC analysis". Automatica. 2012, 48(5). 909-916. https://doi.org/10.1016/j.automatica.2012.02.035

VancouverVancouver

Carrasco J, Heath WP, Lanzon A. Factorization of multipliers in passivity and IQC analysis. Automatica. 2012 May 1;48(5):909-916. Epub 2012 Mar 15. doi: 10.1016/j.automatica.2012.02.035

Author

Carrasco, J. ; Heath, W.P. ; Lanzon, A. / Factorization of multipliers in passivity and IQC analysis. In: Automatica. 2012 ; Vol. 48, No. 5. pp. 909-916.

RIS

TY - JOUR

T1 - Factorization of multipliers in passivity and IQC analysis

AU - Carrasco, J.

AU - Heath, W.P.

AU - Lanzon, A.

PY - 2012/5/1

Y1 - 2012/5/1

N2 - 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.

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.

U2 - 10.1016/j.automatica.2012.02.035

DO - 10.1016/j.automatica.2012.02.035

M3 - Erthygl

VL - 48

SP - 909

EP - 916

JO - Automatica

JF - Automatica

IS - 5

ER -