Title :
On multipliers for bounded and monotone nonlinearities
Author :
Carrasco, Joaquin ; Heath, William P. ; Lanzon, A.
Author_Institution :
Control Syst. Centre, Univ. of Manchester, Manchester, UK
Abstract :
Recent results in equivalence between classes of multipliers for slope-restricted nonlinearities are extended to multipliers for bounded and monotone nonlinearities. This extension requires a slightly modified version of the Zames-Falb theorem and a more general definition of phase-substitution. The results in this paper resolve apparent contradictions in the literature on classes of multipliers for bounded and monotone nonlinearities.
Keywords :
control nonlinearities; Zames-Falb theorem; bounded nonlinearities; monotone nonlinearities; phase-substitution; slope-restricted nonlinearities; Educational institutions; Europe; Heating; Stability criteria; Transfer functions;
Conference_Titel :
Control Conference (ECC), 2013 European
