Comments on "on the existence of stable, causal multipliers for systems with slope-restricted nonlinearities"
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In: IEEE Transactions on Automatic Control, Vol. 57, No. 9, 01.09.2012, p. 2422-2428.
Research output: Contribution to journal › Article › peer-review
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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 -