scilab/modules/cacsd/help/ja_JP/linear_system_factorization/rowinout.xml

   1 <?xml version="1.0" encoding="UTF-8"?>
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  16 <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="ja" xml:id="rowinout">
  17     <refnamediv>
  18         <refname>rowinout</refname>
  19         <refpurpose>インナ-アウタ分解</refpurpose>
  20     </refnamediv>
  21     <refsynopsisdiv>
  22         <title>呼び出し手順</title>
  23         <synopsis>[Inn,X,Gbar]=rowinout(G)</synopsis>
  24     </refsynopsisdiv>
  25     <refsection>
  26         <title>パラメータ</title>
  27         <variablelist>
  28             <varlistentry>
  29                 <term>G</term>
  30                 <listitem>
  31                     <para>
  32                         線形システム (<literal>syslin</literal> リスト) <literal>[A,B,C,D]</literal>
  33                     </para>
  34                 </listitem>
  35             </varlistentry>
  36             <varlistentry>
  37                 <term>Inn</term>
  38                 <listitem>
  39                     <para>
  40                         インナ因子 (<literal>syslin</literal> リスト)
  41                     </para>
  42                 </listitem>
  43             </varlistentry>
  44             <varlistentry>
  45                 <term>Gbar</term>
  46                 <listitem>
  47                     <para>
  48                         アウタ因子 (<literal>syslin</literal> リスト)
  49                     </para>
  50                 </listitem>
  51             </varlistentry>
  52             <varlistentry>
  53                 <term>X</term>
  54                 <listitem>
  55                     <para>
  56                         <literal>G</literal> (<literal>syslin</literal> リスト)の行圧縮
  57                     </para>
  58                 </listitem>
  59             </varlistentry>
  60         </variablelist>
  61     </refsection>
  62     <refsection>
  63         <title>説明</title>
  64         <para>
  65             <literal>G=[A,B,C,D]</literal>(<literal>l</literal>x<literal>p</literal>)
  66             のインナ-アウタ分解(おとび行圧縮) (ただし,<literal>l&gt;=p</literal>).
  67         </para>
  68         <para>
  69             <literal>G</literal> は虚軸上にゼロを持たない縦長(<literal>l&gt;=p</literal>) で
  70             ,<literal>D</literal>は列フルランクであると仮定します.
  71         </para>
  72         <para>
  73             <literal>G</literal> は<literal>Gbar</literal>が安定な場合には
  74             安定となります.
  75         </para>
  76         <para>
  77             <literal>G</literal> は以下のアウタ-インナ分解を許容します:
  78         </para>
  79         <programlisting role=""><![CDATA[
  80  G = [ Inn ] | Gbar |
  81              |  0   |
  82  ]]></programlisting>
  83         <para>
  84             ただし <literal>Inn</literal> は正方行列の
  85             インナ (全通過で安定),
  86             <literal>Gbar</literal>は
  87             正方行列のアウタ,すなわち,
  88             Gbar は正方で双方向プロパーかつ双方向安定
  89             (Gbarの逆行列もプロパーで安定)です.
  90         </para>
  91         <para>
  92             注意:
  93         </para>
  94         <programlisting role=""><![CDATA[
  95       [ Gbar ]
  96 X*G = [  -   ]
  97       [  0   ]
  98  ]]></programlisting>
  99         <para>
 100             は <literal>G</literal> の行圧縮です.
 101             ただし, <literal>X</literal> = <literal>Inn</literal>
 102             の逆行列は全通過特性を有します.すなわち:
 103         </para>
 104         <programlisting role=""><![CDATA[
 105  T
 106 X (-s) X(s) = Identity
 107  ]]></programlisting>
 108         <para>
 109             (連続時間系の場合).
 110         </para>
 111     </refsection>
 112     <refsection role="see also">
 113         <title>参照</title>
 114         <simplelist type="inline">
 115             <member>
 116                 <link linkend="syslin">syslin</link>
 117             </member>
 118             <member>
 119                 <link linkend="colinout">colinout</link>
 120             </member>
 121         </simplelist>
 122     </refsection>
 123 </refentry>