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arXiv · 2008.04635

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

I. Lewkowicz
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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.

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I. Lewkowicz. 2021-02-02. A Unified Framework for Continuous/Discrete Positive/Bounded Real State-Space Systems. https://arxiv.org/abs/2008.04635

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