A Unified Framework for Continuous/Discrete Positive/Bounded Real State-Space Systems

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Abstract

There are four variants of passive, linear time-invariant systems, described by rational functions: Continuous or Discrete time, Positive or Bounded real. By introducing a quadratic matrix inequality formulation, we present a unifying framework for state-space characterization (a.k.a. Kalman-Yakubovich-Popov Lemma) of the above four classes of passive systems. These four families are matrix-convex as rational functions, and a slightly weaker version holds for the corresponding balanced, state-space realization arrays.
Original languageEnglish GB
StatePublished - 11 Aug 2020

Keywords

  • math.OC
  • math.OA
  • 15A60 26C15 47L07 47A56 47N70 93B15

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