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.

Minimal positive realizations of transfer functions with positive real poles / Benvenuti, Luca; Farina, Lorenzo; B. D. O., Anderson; F., De Bruyne. - In: IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I. FUNDAMENTAL THEORY AND APPLICATIONS. - ISSN 1057-7122. - 47:9(2000), pp. 1370-1377. [10.1109/81.883332]

Minimal positive realizations of transfer functions with positive real poles

BENVENUTI, Luca;FARINA, Lorenzo;
2000

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.
2000
minimality; positive realizations; positive systems
01 Pubblicazione su rivista::01a Articolo in rivista
Minimal positive realizations of transfer functions with positive real poles / Benvenuti, Luca; Farina, Lorenzo; B. D. O., Anderson; F., De Bruyne. - In: IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I. FUNDAMENTAL THEORY AND APPLICATIONS. - ISSN 1057-7122. - 47:9(2000), pp. 1370-1377. [10.1109/81.883332]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/126049
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