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Input Classes for Identification of Bilinear Systems

Optimization and Control 2007-05-23 v1

Abstract

This paper asks what classes of input signals are sufficient in order to completely identify the input/output behavior of generic bilinear systems. The main results are that step inputs are not sufficient, nor are single pulses, but the family of all pulses (of a fixed amplitude but varying widths) do suffice for identification.

Cite

@article{arxiv.math/0610633,
  title  = {Input Classes for Identification of Bilinear Systems},
  author = {Eduardo D. Sontag and Yuan Wang and Alexandre Megretski},
  journal= {arXiv preprint arXiv:math/0610633},
  year   = {2007}
}