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  • Committer: Bazaar Package Importer
  • Author(s): Torsten Werner
  • Date: 2005-01-09 22:58:21 UTC
  • mfrom: (1.1.1 upstream)
  • Revision ID: james.westby@ubuntu.com-20050109225821-473xr8vhgugxxx5j
Tags: 3.0-12
http://bugs.debian.org/255869
changed configure.in to build scilab's own malloc.o, closes: #255869

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man/fr/control/specfact.xml
 
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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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<MAN>
 
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  <LANGUAGE>eng</LANGUAGE>
 
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  <TITLE>specfact</TITLE>
 
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  <TYPE>Scilab Function</TYPE>
 
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  <DATE>April 1993</DATE>
 
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  <SHORT_DESCRIPTION name="specfact"> spectral factor</SHORT_DESCRIPTION>
 
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  <CALLING_SEQUENCE>
 
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    <CALLING_SEQUENCE_ITEM>[W0,L]=specfact(A,B,C,D)  </CALLING_SEQUENCE_ITEM>
 
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  </CALLING_SEQUENCE>
 
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  <DESCRIPTION>
 
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    <P>
 
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    Given a spectral density matrix <VERB>phi(s)</VERB>:</P>
 
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    <VERBATIM>
 
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<![CDATA[
 
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                 -1                   -1
 
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     R + C*(s*I-A) * B  +  B'*(-s*I-A') * C'  with R=D+D' > 0
 
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   ]]>
 
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    </VERBATIM>
 
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    <P><VERB>specfact</VERB> computes  <VERB>W0</VERB> and <VERB>L</VERB> such 
 
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    that  <VERB>W(s)=W0+L*(s*I-A)^-1*B</VERB>  is a
 
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    spectral factor of of <VERB>PHI(s)</VERB>, i.e.</P>
 
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    <P>
 
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      <VERB>phi(s)=W'(-s)*W(s)</VERB>
 
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    </P>
 
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  </DESCRIPTION>
 
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  <EXAMPLE>
 
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<![CDATA[
 
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A=diag([-1,-2]);B=[1;1];C=[1,1];D=1;s=poly(0,'s');
 
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W1=syslin('c',A,B,C,D);
 
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phi=gtild(W1,'c')+W1;
 
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phis=clean(ss2tf(phi))
 
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clean(phis-horner(phis,-s)');   //check this is 0...
 
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[A,B,C,D]=abcd(W1);
 
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[W0,L]=specfact(A,B,C,D);
 
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W=syslin('c',A,B,L,W0)
 
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Ws=ss2tf(W);
 
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horner(Ws,-s)*Ws
 
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 ]]>
 
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  </EXAMPLE>
 
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  <SEE_ALSO>
 
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    <SEE_ALSO_ITEM>
 
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      <LINK>gtild</LINK>
 
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    </SEE_ALSO_ITEM>
 
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    <SEE_ALSO_ITEM>
 
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      <LINK>sfact</LINK>
 
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    </SEE_ALSO_ITEM>
 
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    <SEE_ALSO_ITEM>
 
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      <LINK>fspecg</LINK>
 
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    </SEE_ALSO_ITEM>
 
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  </SEE_ALSO>
 
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  <AUTHOR>F. D.   </AUTHOR>
 
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</MAN>