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Floquet-type representations of linear periodic systems - general case

Hannu T. Toivonen, Lassi Hietarinta, Floquet-type representations of linear periodic systems - general case. In: S. Bittanti, A. Cenedese, S. Zampieri (Eds.), Proceedings of the 18th IFAC World Congress, Paper no. 2385, International Federation of Automatic Control (IFAC), 2011.

Abstract:

Floquet theory allows representation of a linear periodically time-varying system by a state-space representation having a time-invariant system matrix. When the system state-transition matrix over one period has eigenvalues on the negative real axis, a real-valued Floquet-type representation may not exist. This can be avoided by doubling the period, or alternatively, by constructing generalized Floquet-type representations with periodic homogenous dynamics but with a special structure which simplifies their analysis. In contrast to these approaches, this paper studies a method to construct a real-valued Floquet-type representation for the general case which has time-invariant homogenous dynamics and does not require period doubling. This is achieved by appropriately increasing the dimension of the system state.

BibTeX entry:

@INPROCEEDINGS{inpToHi11a,
  title = {Floquet-type representations of linear periodic systems - general case},
  booktitle = {Proceedings of the 18th IFAC World Congress},
  author = {Toivonen, Hannu T. and Hietarinta, Lassi},
  editor = {Bittanti, S. and Cenedese, A. and Zampieri, S.},
  publisher = {International Federation of Automatic Control (IFAC)},
  pages = {Paper no. 2385},
  year = {2011},
}

Belongs to TUCS Research Unit(s): Other

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