1e05ec0cc37e53f58f398b9106f4933530f3794b
[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" 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>