Representation of hysteresis operators for vector-valued inputs by functions on strings

@article{Klein2012RepresentationOH,
  title={Representation of hysteresis operators for vector-valued inputs by functions on strings},
  author={O. Klein},
  journal={Physica B-condensed Matter},
  year={2012},
  volume={407},
  pages={1399-1400}
}
  • O. Klein
  • Published 2012
  • Mathematics
  • Physica B-condensed Matter
  • Abstract In 1996, Brokate and Sprekels have shown that scalar-valued hysteresis operators for scalar-valued continuous input functions being piecewise monotone can be uniquely represented by functionals defined on the set of all finite alternating strings of real numbers. In this work, it is shown that a similar result can also be derived for hysteresis operators dealing with inputs in a general normed vector space. Considering hysteresis operators defined for continuous inputs that are… CONTINUE READING
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