Nonnegative realization of a linear system with nonnegative impulse response

Brian D.O. Anderson; Manfred Deistler; Lorenzo Farina; Luca Benvenuti

doi:10.1109/81.486435

Nonnegative realization of a linear system with nonnegative impulse response

Brian D.O. Anderson^*
, Manfred Deistler
, Lorenzo Farina
, Luca Benvenuti

^*Corresponding author for this work

School of Engineering

Research output: Contribution to journal › Article › peer-review

152 Citations (Scopus)

Abstract

Let H (z) be a rational transfer function with associated nonnegative impulse response sequence. The paper considers the question: When does there exist a triple A ε R _NXA b ε R ^N c ε R ^N with all nonnegative entries and H(z) = c′(zI - A) ^-1b? An essentially complete characterization is given of the H(z') allowing such a realization in terms of the location of the pole or poles of H(z) with maximum modulus.

Original language	English
Pages (from-to)	134-142
Number of pages	9
Journal	IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Volume	43
Issue number	2
DOIs	https://doi.org/10.1109/81.486435
Publication status	Published - 1996

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title = "Nonnegative realization of a linear system with nonnegative impulse response",

abstract = "Let H (z) be a rational transfer function with associated nonnegative impulse response sequence. The paper considers the question: When does there exist a triple A ε R NXA b ε R N c ε R N with all nonnegative entries and H(z) = c′(zI - A) -1b? An essentially complete characterization is given of the H(z') allowing such a realization in terms of the location of the pole or poles of H(z) with maximum modulus.",

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T1 - Nonnegative realization of a linear system with nonnegative impulse response

AU - Anderson, Brian D.O.

AU - Deistler, Manfred

AU - Farina, Lorenzo

AU - Benvenuti, Luca

PY - 1996

Y1 - 1996

N2 - Let H (z) be a rational transfer function with associated nonnegative impulse response sequence. The paper considers the question: When does there exist a triple A ε R NXA b ε R N c ε R N with all nonnegative entries and H(z) = c′(zI - A) -1b? An essentially complete characterization is given of the H(z') allowing such a realization in terms of the location of the pole or poles of H(z) with maximum modulus.

AB - Let H (z) be a rational transfer function with associated nonnegative impulse response sequence. The paper considers the question: When does there exist a triple A ε R NXA b ε R N c ε R N with all nonnegative entries and H(z) = c′(zI - A) -1b? An essentially complete characterization is given of the H(z') allowing such a realization in terms of the location of the pole or poles of H(z) with maximum modulus.

UR - https://www.scopus.com/pages/publications/0030086558

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DO - 10.1109/81.486435

M3 - Article

AN - SCOPUS:0030086558

SN - 1057-7122

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JO - IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

JF - IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

IS - 2

ER -

Nonnegative realization of a linear system with nonnegative impulse response

Abstract

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