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Materials 2015, 8(12), 8414-8422; doi:10.3390/ma8125465

On the Passivity of Hysteretic Systems with Double Hysteretic Loops

CoDAlab, Departament de Matemàtiques, Escola Universitària d’Enginyeria Tècnica Industrial de Barcelona (EUETIB), Universitat Politècnica de Catalunya (UPC), Comte d’Urgell, 187, 08036 Barcelona, Spain
EDMA Innova, C. dels Olms 10, 17111 Vulpellac (Girona), Spain
Author to whom correspondence should be addressed.
Academic Editor: Jung Ho Je
Received: 5 October 2015 / Revised: 19 November 2015 / Accepted: 20 November 2015 / Published: 3 December 2015
(This article belongs to the Section Structure Analysis and Characterization)
View Full-Text   |   Download PDF [831 KB, uploaded 3 December 2015]   |  


The Bouc–Wen hysteresis model is widely employed to mathematically represent the dynamical behavior of several physical devices, materials and systems such as magnetorheological dampers, lanthanide zirconium or aluminum oxides, mechanical structures or biomedical systems. However, these mathematical models must account for different properties such as the bounded-input bounded-output stability, asymptotic motion, thermodynamic admissibility or passivity in order to be physically consistent with the systems they represent. The passivity of a system is related to energy dissipation. More precisely, a system is passive if it does not generate energy but only dissipates it. The objective of this paper is to prove that two different double-loop Bouc–Wen models are passive under a particular set of model parameters. View Full-Text
Keywords: hysteresis; passivity; double-loop; Bouc–Wen model hysteresis; passivity; double-loop; Bouc–Wen model

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Pozo, F.; Zapateiro, M. On the Passivity of Hysteretic Systems with Double Hysteretic Loops. Materials 2015, 8, 8414-8422.

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