* Bug #13152 foxed - CACSD: typo in syslin FR help
[scilab.git] / 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>