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<?xml version="1.0" encoding="ISO-8859-1" standalone="no"?>
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<!DOCTYPE MAN SYSTEM "../../manrev.dtd">
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<LANGUAGE>eng</LANGUAGE>
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<TYPE>Scilab Function</TYPE>
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<DATE>April 1993</DATE>
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<SHORT_DESCRIPTION name="copfac"> right coprime factorization</SHORT_DESCRIPTION>
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<CALLING_SEQUENCE_ITEM>[N,M,XT,YT]=copfac(G [,polf,polc,tol]) </CALLING_SEQUENCE_ITEM>
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<PARAM_NAME>G</PARAM_NAME>
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<SP>: <VERB>syslin</VERB> list (continuous-time linear system )</SP>
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<PARAM_NAME>polf, polc</PARAM_NAME>
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<SP>: respectively the poles of <VERB>XT</VERB> and <VERB>YT</VERB> and the poles of <VERB>n</VERB> and <VERB>M</VERB> (default values =-1).</SP>
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<PARAM_NAME>tol</PARAM_NAME>
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<SP>: real threshold for detecting stable poles (default value <VERB>100*%eps</VERB>)</SP>
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<PARAM_NAME>N,M,XT,YT</PARAM_NAME>
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<SP>: linear systems represented by <VERB>syslin</VERB> lists</SP>
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<P><VERB>[N,M,XT,YT]=copfac(G,[polf,polc,[tol]])</VERB> returns a right coprime factorization of <VERB>G</VERB>.</P>
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<P><VERB>G = N*M^-1</VERB> where <VERB>N</VERB> and <VERB>M</VERB> are stable, proper and right coprime.
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(i.e. <VERB>[N M]</VERB> left-invertible with stability)</P>
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<P><VERB>XT</VERB> and <VERB>YT</VERB> satisfy:</P>
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<P><VERB>[XT -YT].[M N]' = eye</VERB> (Bezout identity)</P>
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<P><VERB>G</VERB> is assumed stabilizable and detectable.</P>