A correct characterization of strict positive realness for MIMO systems

  • Authors:

  • Martin Corless;Robert Shorten

  • Affiliations:

  • School of Aeronautics & Astronautics, Purdue University, West Lafayette, IN;Hamilton Institute, NUI Maynooth, Maynooth, Ireland

  • Venue:
  • ACC'09 Proceedings of the 2009 conference on American Control Conference
  • Year:
  • 2009

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Abstract

We present conditions which are necessary and sufficient for a transfer function (or transfer function matrix) to be strictly positive real. A counter example is given to illustrate that, in the MIMO (multi-input multi-output) case, the conditions presented here differ from those previously presented in the literature, and that these same conditions represent an incomplete characterization of strict positive realness (and passivity).