TY - UNPB

T1 - A Unified Framework for Continuous/Discrete Positive/Bounded Real State-Space Systems

AU - Lewkowicz, I.

PY - 2020/8/11

Y1 - 2020/8/11

N2 - 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.

AB - 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.

KW - math.OC

KW - math.OA

KW - 15A60 26C15 47L07 47A56 47N70 93B15

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

ER -