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[scilab.git] / scilab / modules / cacsd / help / ja_JP / riccati.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="riccati">
17     <refnamediv>
18         <refname>riccati</refname>
19         <refpurpose>リカッチ方程式</refpurpose>
20     </refnamediv>
21     <refsynopsisdiv>
22         <title>呼び出し手順</title>
23         <synopsis>X=riccati(A,B,C,dom,[typ])
24             [X1,X2]=riccati(A,B,C,dom,[typ])
25         </synopsis>
26     </refsynopsisdiv>
27     <refsection>
28         <title>パラメータ</title>
29         <variablelist>
30             <varlistentry>
31                 <term>A,B,C</term>
32                 <listitem>
33                     <para>
34                         実数行列 nxn, <literal>B</literal> および対称行列  <literal>C</literal> .
35                     </para>
36                 </listitem>
37             </varlistentry>
38             <varlistentry>
39                 <term>dom</term>
40                 <listitem>
41                     <para>
42                         時間領域(連続または離散)に関する <literal>'c'</literal> または <literal>'d'</literal> 
43                     </para>
44                 </listitem>
45             </varlistentry>
46             <varlistentry>
47                 <term>typ</term>
48                 <listitem>
49                     <para>
50                         文字列 : ブロック対角化の場合は<literal>'eigen'</literal>,
51                         または Schur 法の場合は<literal>schur'</literal>.
52                     </para>
53                 </listitem>
54             </varlistentry>
55             <varlistentry>
56                 <term>X1,X2,X</term>
57                 <listitem>
58                     <para>正方実数行列 (X2 は可逆), 対称行列 X </para>
59                 </listitem>
60             </varlistentry>
61         </variablelist>
62     </refsection>
63     <refsection>
64         <title>説明</title>
65         <para>
66             <literal>X=riccati(A,B,C,dom,[typ])</literal> は次のリカッチ方程式を解きます:
67         </para>
68         <programlisting role=""><![CDATA[ 
69 A'*X+X*A-X*B*X+C=0 
70  ]]></programlisting>
71         <para>
72             (連続系の場合),または
73         </para>
74         <programlisting role=""><![CDATA[ 
75 A'*X*A-(A'*X*B1/(B2+B1'*X*B1))*(B1'*X*A)+C-X
76  ]]></programlisting>
77         <para>
78             (離散時間系の場合), ただし <literal>B=B1/B2*B1'</literal>.
79             出力引数2個でコールされた場合,
80             <literal>riccati</literal> は
81             <literal>X=X1/X2</literal>となるような<literal>X1,X2</literal>を返します.
82         </para>
83     </refsection>
84     <refsection role="see also">
85         <title>参照</title>
86         <simplelist type="inline">
87             <member>
88                 <link linkend="ricc">ricc</link>
89             </member>
90             <member>
91                 <link linkend="ric_desc">ric_desc</link>
92             </member>
93         </simplelist>
94     </refsection>
95 </refentry>