Minimal positive realizations of transfer functions with positive real poles

Luca Benvenuti; Lorenzo Farina; Brian D.O. Anderson; Franky De Bruyne

doi:10.1109/81.883332

Minimal positive realizations of transfer functions with positive real poles

Luca Benvenuti, Lorenzo Farina, Brian D.O. Anderson, Franky De Bruyne

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

47 Citations (Scopus)

Abstract

A standard result of linear-system theory states that a SISO rational nth-order transfer function always has an nth-order realization. In some applications, one is interested in having a realization with nonnegative entries (i.e., a positive system) and it is known that a positive system may not be minimal in the usual sense. In this paper, we give an explicit necessary and sufficient condition for a third-order transfer function with distinct real positive poles to have a third-order positive realization. The proof is constructive so that it is straightforward to obtain a minimal positive realization.

Original language	English
Pages (from-to)	1370-1377
Number of pages	8
Journal	IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Volume	47
Issue number	9
DOIs	https://doi.org/10.1109/81.883332
Publication status	Published - Sept 2000

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10.1109/81.883332

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Minimal positive realizations of transfer functions with positive real poles

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Minimal Discrete-Time Positive Realizations of Transfer Functions With Positive Real Poles

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