A note on minimality of positive realizations

DOI10.1109/81.678491zbMath0951.93013OpenAlexW2142203931MaRDI QIDQ4505135

Luca Benvenuti, Lorenzo Farina

Publication date: 26 September 2000

Published in: IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/32a0b647b9347a73620ed8b2547a0e002b7bb201

zbMATH Keywords

Hankel matrixfactorizationpositive linear systemspositive realizationminimal inner size

Mathematics Subject Classification ID

Factorization of matrices (15A23) Realizations from input-output data (93B15)

Related Items (10)

An upper bound on the dimension of minimal positive realizations for discrete time systems ⋮ A note on the existence of positive realizations ⋮ Unnamed Item ⋮ Minimal positive realizations: A survey ⋮ A construction method for positive realizations with an order bound ⋮ Computation of positive realizations for given impulse response matrices of discrete-time systems ⋮ A lower bound on the dimension of minimal positive realizations for discrete time systems ⋮ Unnamed Item ⋮ An example of how positivity may force realizations of `large' dimension ⋮ Bounds on the size of minimal nonnegative realizations for discrete-time LTI systems

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