Nagy, B. and Matolcsi, Máté (2005) Minimal positive realizations of transfer functions with nonnegative multiple poles. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 50 (9). pp. 14471450. ISSN 00189286

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Abstract
This note concerns a particular case of the minimality problem in positive system theory. A standard result in linear system theory states that any nthorder rational transfer function of a discrete timeinvariant linear singleinputsingleoutput (SISO) system admits a realization of order n. In some applications, however, one is restricted to realizations with nonnegative entries (i.e., a positive system), and it is known that this restriction may force the order N of realizations to be strictly larger than n. A general solution to the minimality problem (i.e., determining the smallest possible value of N) is not known. In this note, we consider the case of transfer functions with nonnegative multiple poles, and give sufficient conditions for the existence of positive realizations of order N = n. With the help of our results we also give an improvement of an existing result in positive system theory.
Item Type:  Article 

Uncontrolled Keywords:  Control Theory; Singleinputsingleoutput (SISO) system; Mcmillan degree; Transfer functions; Poles and zeros; Optimization; Mathematical models; Linear control systems; iterative methods; Discrete time control systems; Positive linear systems; Minimal realizations; Discretetime filtering; SYSTEMS 
Subjects:  Q Science / természettudomány > QA Mathematics / matematika T Technology / alkalmazott, műszaki tudományok > TA Engineering (General). Civil engineering (General) / általános mérnöki tudományok T Technology / alkalmazott, műszaki tudományok > TK Electrical engineering. Electronics Nuclear engineering / elektrotechnika, elektronika, atomtechnika 
SWORD Depositor:  MTMT SWORD 
Depositing User:  MTMT SWORD 
Date Deposited:  10 Dec 2013 13:50 
Last Modified:  10 Dec 2013 13:50 
URI:  http://real.mtak.hu/id/eprint/7951 
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