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Equivalence between classes of multipliers for slope-restricted nonlinearities

Research output: Contribution to conference › Paper › peer-review

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Equivalence between classes of multipliers for slope-restricted nonlinearities. / Carrasco, J.; Heath, W.P.; Lanzon, A.
2013. 2262-2267 Paper presented at 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), maui, United States.

Research output: Contribution to conference › Paper › peer-review

HarvardHarvard

Carrasco, J, Heath, WP & Lanzon, A 2013, 'Equivalence between classes of multipliers for slope-restricted nonlinearities', Paper presented at 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), maui, United States, 10/12/12 - 13/12/12 pp. 2262-2267. https://doi.org/10.1109/CDC.2012.6427017

APA

Carrasco, J., Heath, W. P., & Lanzon, A. (2013). Equivalence between classes of multipliers for slope-restricted nonlinearities. 2262-2267. Paper presented at 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), maui, United States. https://doi.org/10.1109/CDC.2012.6427017

CBE

Carrasco J, Heath WP, Lanzon A. 2013. Equivalence between classes of multipliers for slope-restricted nonlinearities. Paper presented at 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), maui, United States. https://doi.org/10.1109/CDC.2012.6427017

MLA

Carrasco, J., W.P. Heath and A. Lanzon Equivalence between classes of multipliers for slope-restricted nonlinearities. 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), 10 Dec 2012, maui, United States, Paper, 2013. 6 p. https://doi.org/10.1109/CDC.2012.6427017

VancouverVancouver

Carrasco J, Heath WP, Lanzon A. Equivalence between classes of multipliers for slope-restricted nonlinearities. 2013. Paper presented at 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), maui, United States. doi: 10.1109/CDC.2012.6427017

Author

Carrasco, J. ; Heath, W.P. ; Lanzon, A. / Equivalence between classes of multipliers for slope-restricted nonlinearities. Paper presented at 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), maui, United States.6 p.

RIS

TY - CONF

T1 - Equivalence between classes of multipliers for slope-restricted nonlinearities

AU - Carrasco, J.

AU - Heath, W.P.

AU - Lanzon, A.

PY - 2013/2/13

Y1 - 2013/2/13

N2 - Different classes of multipliers have been proposed in the literature for obtaining stability criteria using passivity theory, integral quadratic constraint (IQC) theory or Lyapunov theory. Some of these classes of multipliers can be applied with slope-restricted nonlinearities. In this paper the concept of phase-containment is defined and it is shown that several classes are phase-contained within the class of Zames-Falb multipliers. There are two main consequences: firstly it follows that the class of Zames-Falb multipliers remains, to date, the widest class of available multipliers for slope-restricted nonlinearities; secondly further restrictions may be avoided when applying some of the other classes of multipliers.

AB - Different classes of multipliers have been proposed in the literature for obtaining stability criteria using passivity theory, integral quadratic constraint (IQC) theory or Lyapunov theory. Some of these classes of multipliers can be applied with slope-restricted nonlinearities. In this paper the concept of phase-containment is defined and it is shown that several classes are phase-contained within the class of Zames-Falb multipliers. There are two main consequences: firstly it follows that the class of Zames-Falb multipliers remains, to date, the widest class of available multipliers for slope-restricted nonlinearities; secondly further restrictions may be avoided when applying some of the other classes of multipliers.

U2 - 10.1109/CDC.2012.6427017

DO - 10.1109/CDC.2012.6427017

M3 - Papur

SP - 2262

EP - 2267

T2 - 2012 IEEE 51st IEEE Conference on Decision and Control (CDC)

Y2 - 10 December 2012 through 13 December 2012

ER -