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A Generalized Zames-Falb Multiplier

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2 Author(s)
Materassi, D. ; Dept. of Electr. & Comput. Eng., Univ. of Minnesota, Minneapolis, MN, USA ; Salapaka, M.V.

Lur'e systems represent feedback interconnections of a Linear Time-Invariant system with a nonlinear operator. The Zames-Falb criterion is a powerful tool to determine the stability of a Lur'e system when the nonlinear operator is defined by a monotonic, odd and single-valued function. The article provides a generalization of the Zames-Falb criterion for the analysis of stability of a Lur'e system for nonlinear static operators that are “approximately” monotonic and odd. This result extends the standard Zames-Falb criterion with an additional notion of “robustness”.

Published in:

Automatic Control, IEEE Transactions on  (Volume:56 ,  Issue: 6 )

Date of Publication:

June 2011

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