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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Published in | Proceedings of the 44th IEEE Conference on Decision and Control pp. 8000 - 8005 |
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Main Authors | , , |
Format | Conference Proceeding |
Language | English |
Published |
IEEE
2005
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Subjects | |
Online Access | Get full text |
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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. |
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ISBN: | 9780780395671 0780395670 |
ISSN: | 0191-2216 |
DOI: | 10.1109/CDC.2005.1583456 |