Counterclockwise Dynamics of a Rate-Independent Semilinear Duhem Model

Counterclockwise hysteresis maps are known to be dissipative in the energy sense as well as in the system-theoretic sense. In a recent paper, Angeli studied feedback interconnections of counterclockwise systems, where counterclockwise refers to the net signed area of the input-output map, which need...

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Bibliographic Details
Published inProceedings of the 44th IEEE Conference on Decision and Control pp. 8000 - 8005
Main Authors Padthe, A.K., JinHyoung Oh, Bernstein, D.S.
Format Conference Proceeding
LanguageEnglish
Published IEEE 2005
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Summary:Counterclockwise hysteresis maps are known to be dissipative in the energy sense as well as in the system-theoretic sense. In a recent paper, Angeli studied feedback interconnections of counterclockwise systems, where counterclockwise refers to the net signed area of the input-output map, which need not be a simple closed curve. In the present paper we apply this notion to the study of hysteretic models. In particular, we give conditions under which the semilinear Duhem model is counterclockwise.
ISBN:9780780395671
0780395670
ISSN:0191-2216
DOI:10.1109/CDC.2005.1583456