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Comments on "on the existence of stable, causal multipliers for systems with slope-restricted nonlinearities". / Carrasco, J.; Heath, W.P.; Li, G. et al.
In: IEEE Transactions on Automatic Control, Vol. 57, No. 9, 01.09.2012, p. 2422-2428.

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Carrasco, J, Heath, WP, Li, G & Lanzon, A 2012, 'Comments on "on the existence of stable, causal multipliers for systems with slope-restricted nonlinearities"', IEEE Transactions on Automatic Control, vol. 57, no. 9, pp. 2422-2428. https://doi.org/10.1109/TAC.2011.2179848

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Carrasco J, Heath WP, Li G, Lanzon A. Comments on "on the existence of stable, causal multipliers for systems with slope-restricted nonlinearities". IEEE Transactions on Automatic Control. 2012 Sept 1;57(9):2422-2428. Epub 2011 Dec 14. doi: 10.1109/TAC.2011.2179848

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Carrasco, J. ; Heath, W.P. ; Li, G. et al. / Comments on "on the existence of stable, causal multipliers for systems with slope-restricted nonlinearities". In: IEEE Transactions on Automatic Control. 2012 ; Vol. 57, No. 9. pp. 2422-2428.

RIS

TY - JOUR

T1 - Comments on "on the existence of stable, causal multipliers for systems with slope-restricted nonlinearities"

AU - Carrasco, J.

AU - Heath, W.P.

AU - Li, G.

AU - Lanzon, A.

PY - 2012/9/1

Y1 - 2012/9/1

N2 - The above technical note presents a novel convex search within the Zames-Falb multiplier class. The aim of this correspondence is to correct the misuse of a relaxation on one condition in the search. This relaxation leads to nontrivial numerical errors in all six examples discussed in the technical note. Correct application of the conditions still gives an improvement over absolute stability criteria in the literature for at least one example, but some of the claims for lack of conservativeness in the above technical note should be moderated

AB - The above technical note presents a novel convex search within the Zames-Falb multiplier class. The aim of this correspondence is to correct the misuse of a relaxation on one condition in the search. This relaxation leads to nontrivial numerical errors in all six examples discussed in the technical note. Correct application of the conditions still gives an improvement over absolute stability criteria in the literature for at least one example, but some of the claims for lack of conservativeness in the above technical note should be moderated

U2 - 10.1109/TAC.2011.2179848

DO - 10.1109/TAC.2011.2179848

M3 - Erthygl

VL - 57

SP - 2422

EP - 2428

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

SN - 2334-3303

IS - 9

ER -