REAL

Positive decomposition of transfer functions with multiple poles

Nagy, B. and Matolcsi, Máté and Nagyné, Szilvási Márta (2006) Positive decomposition of transfer functions with multiple poles. LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES, 341. pp. 335-342. ISSN 0170-8643

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Abstract

We present new results on decomposing the transfer function t(z) of a linear, asymptotically stable, discrete-time SISO system as a difference t(z) = t(1)(z) - t(2)(z) of two positive linear systems. We extend the results of [4] to a class of transfer functions t(z) with multiple poles. One of the appearing positive systems is always 1-dimensional, while the other has dimension corresponding to the location and order of the poles of t(z). Recently, in [11], a universal approach was found, providing a decomposition for any asymptotically stable t(z). Our approach here gives lower dimensions than [11] in certain cases but, unfortunately, at present it can only be applied to a relatively small class of transfer functions, and it does not yield a general algorithm.

Item Type: Article
Uncontrolled Keywords: REALIZATION
Subjects: Q Science / természettudomány > QA Mathematics / matematika
Q Science / természettudomány > QA Mathematics / matematika > QA75 Electronic computers. Computer science / számítástechnika, számítógéptudomány
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 10 Dec 2013 13:37
Last Modified: 10 Dec 2013 13:37
URI: http://real.mtak.hu/id/eprint/7945

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