[doc] misc. patchs & small improvements
[scilab.git] / 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"
17           xmlns:svg="http://www.w3.org/2000/svg" xmlns:mml="http://www.w3.org/1998/Math/MathML"
18           xmlns:db="http://docbook.org/ns/docbook" xmlns:scilab="http://www.scilab.org"
19           xml:lang="ja" xml:id="rowinout">
20     <refnamediv>
21         <refname>rowinout</refname>
22         <refpurpose>インナ-アウタ分解</refpurpose>
23     </refnamediv>
24     <refsynopsisdiv>
25         <title>呼び出し手順</title>
26         <synopsis>[Inn, X, Gbar] = rowinout(G)</synopsis>
27     </refsynopsisdiv>
28     <refsection>
29         <title>パラメータ</title>
30         <variablelist>
31             <varlistentry>
32                 <term>G</term>
33                 <listitem>
34                     <para>
35                         線形システム (<literal>syslin</literal> リスト) <literal>[A,B,C,D]</literal>
36                     </para>
37                 </listitem>
38             </varlistentry>
39             <varlistentry>
40                 <term>Inn</term>
41                 <listitem>
42                     <para>
43                         インナ因子 (<literal>syslin</literal> リスト)
44                     </para>
45                 </listitem>
46             </varlistentry>
47             <varlistentry>
48                 <term>Gbar</term>
49                 <listitem>
50                     <para>
51                         アウタ因子 (<literal>syslin</literal> リスト)
52                     </para>
53                 </listitem>
54             </varlistentry>
55             <varlistentry>
56                 <term>X</term>
57                 <listitem>
58                     <para>
59                         <literal>G</literal> (<literal>syslin</literal> リスト)の行圧縮
60                     </para>
61                 </listitem>
62             </varlistentry>
63         </variablelist>
64     </refsection>
65     <refsection>
66         <title>説明</title>
67         <para>
68             <literal>G=[A,B,C,D]</literal>(<literal>l</literal>x<literal>p</literal>)
69             のインナ-アウタ分解(おとび行圧縮) (ただし,<literal>l&gt;=p</literal>).
70         </para>
71         <para>
72             <literal>G</literal> は虚軸上にゼロを持たない縦長(<literal>l&gt;=p</literal>) で
73             ,<literal>D</literal>は列フルランクであると仮定します.
74         </para>
75         <para>
76             <literal>G</literal> は<literal>Gbar</literal>が安定な場合には
77             安定となります.
78         </para>
79         <para>
80             <literal>G</literal> は以下のアウタ-インナ分解を許容します:
81         </para>
82         <screen><![CDATA[
83  G = [ Inn ] | Gbar |
84              |  0   |
85 ]]></screen>
86         <para>
87             ただし <literal>Inn</literal> は正方行列の
88             インナ (全通過で安定),
89             <literal>Gbar</literal>は
90             正方行列のアウタ,すなわち,
91             Gbar は正方で双方向プロパーかつ双方向安定
92             (Gbarの逆行列もプロパーで安定)です.
93         </para>
94         <para>
95             注意:
96         </para>
97         <screen><![CDATA[
98       [ Gbar ]
99 X*G = [  -   ]
100       [  0   ]
101 ]]></screen>
102         <para>
103             は <literal>G</literal> の行圧縮です.
104             ただし, <literal>X</literal> = <literal>Inn</literal>
105             の逆行列は全通過特性を有します.すなわち:
106             <literal>X<superscript>t</superscript>(-s).X(s) = Identity</literal>
107             (連続時間系の場合).
108         </para>
109     </refsection>
110     <refsection role="see also">
111         <title>参照</title>
112         <simplelist type="inline">
113             <member>
114                 <link linkend="syslin">syslin</link>
115             </member>
116             <member>
117                 <link linkend="colinout">colinout</link>
118             </member>
119         </simplelist>
120     </refsection>
121 </refentry>