scilab/modules/cacsd/help/fr_FR/pol2des.xml

   1 <?xml version="1.0" encoding="UTF-8"?>
   2 <refentry xmlns="http://docbook.org/ns/docbook" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org" xml:lang="fr" xml:id="pol2des">
   3     <refnamediv>
   4         <refname>pol2des</refname>
   5         <refpurpose>conversion matrice de polynômes vers forme descripteur  </refpurpose>
   6     </refnamediv>
   7     <refsynopsisdiv>
   8         <title>Séquence d'appel</title>
   9         <synopsis>[N,B,C]=pol2des(Ds)</synopsis>
  10     </refsynopsisdiv>
  11     <refsection>
  12         <title>Paramètres</title>
  13         <variablelist>
  14             <varlistentry>
  15                 <term>Ds  </term>
  16                 <listitem>
  17                     <para>matrice de polynômes
  18                     </para>
  19                 </listitem>
  20             </varlistentry>
  21             <varlistentry>
  22                 <term>N, B, C  </term>
  23                 <listitem>
  24                     <para>3 matrices réelles
  25                     </para>
  26                 </listitem>
  27             </varlistentry>
  28         </variablelist>
  29     </refsection>
  30     <refsection>
  31         <title>Description</title>
  32         <para>
  33             Etant donnée la matrice de polynômes <literal>Ds=D_0 +D_1 s +D_2 s^2 +... +D_k s^k</literal>,
  34             <literal>pol2des</literal> renvoie 3 matrices <literal>N, B, C</literal>, avec <literal>N</literal> nilpotente
  35             telles que :
  36         </para>
  37         <para>
  38             <literal>Ds = C (s*N-eye())^-1 B </literal>
  39         </para>
  40     </refsection>
  41     <refsection>
  42         <title>Exemples</title>
  43         <programlisting role="example"><![CDATA[
  44 s=poly(0,'s');
  45 G=[1,s;1+s^2,3*s^3];[N,B,C]=pol2des(G);
  46 G1=clean(C*inv(s*N-eye())*B),G2=numer(G1)
  47  ]]></programlisting>
  48     </refsection>
  49     <refsection role="see also">
  50         <title>Voir aussi</title>
  51         <simplelist type="inline">
  52             <member>
  53                 <link linkend="ss2des">ss2des</link>
  54             </member>
  55             <member>
  56                 <link linkend="tf2des">tf2des</link>
  57             </member>
  58         </simplelist>
  59     </refsection>
  60 </refentry>