On the Characterization of the Duhem Hysteresis Operator with Clockwise Input-Output Dynamics

Mathematics – Optimization and Control

Scientific paper

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Pre-print, 17 pages

Scientific paper

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
storage function satisfying dissipation inequality of CW systems.

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