TY - UNPB
T1 - A Unified Framework for Continuous/Discrete Positive/Bounded Real State-Space Systems
AU - Lewkowicz, I.
PY - 2021/2/2
Y1 - 2021/2/2
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
U2 - 10.48550/arXiv.2008.04635
DO - 10.48550/arXiv.2008.04635
M3 - Preprint
SP - 1
EP - 16
BT - A Unified Framework for Continuous/Discrete Positive/Bounded Real State-Space Systems
ER -