On the characterization of the Duhem hysteresis operator with clockwise input-output dynamics

Abstract : In this paper we investigate the dissipativity property of a certain class of Duhem hysteresis operator, which has clockwise (CW) input-output (I/O) behavior. In particular, we provide sufficient conditions on the Duhem operator such that it is CW and propose an explicit construction of the corresponding function satisfying dissipation inequality of CW systems. The result is used to analyze the stability of a second order system with hysteretic friction which is described by a Dahl model.
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Systems and Control Letters, Elsevier, 2013, 62 (3), pp.286-293. 〈10.1016/j.sysconle.2012.11.022〉
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Contributeur : Vincent Andrieu <>
Soumis le : mercredi 20 février 2013 - 17:11:53
Dernière modification le : vendredi 15 février 2019 - 16:34:03

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Ruiyue Ouyang, Vincent Andrieu, Bayu Jayawardhana. On the characterization of the Duhem hysteresis operator with clockwise input-output dynamics. Systems and Control Letters, Elsevier, 2013, 62 (3), pp.286-293. 〈10.1016/j.sysconle.2012.11.022〉. 〈hal-00790675〉

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