<?xml version="1.0" encoding="UTF-8"?>
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 *
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 * pursuant to article 5.3.4 of the CeCILL v.2.1.
 * This file was originally licensed under the terms of the CeCILL v2.1,
 * and continues to be available under such terms.
 * For more information, see the COPYING file which you should have received
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<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="dt_ility">
    <refnamediv>
        <refname>dt_ility</refname>
        <refpurpose>可検出性テスト</refpurpose>
    </refnamediv>
    <refsynopsisdiv>
        <title>呼び出し手順</title>
        <synopsis>[k, [n [,U [,Sld ] ] ]]=dt_ility(Sl [,tol])</synopsis>
    </refsynopsisdiv>
    <refsection>
        <title>パラメータ</title>
        <variablelist>
            <varlistentry>
                <term>Sl</term>
                <listitem>
                    <para>
                        線形システム (<literal>syslin</literal> リスト)
                    </para>
                </listitem>
            </varlistentry>
            <varlistentry>
                <term>n</term>
                <listitem>
                    <para>不可観測な部分空間の次元</para>
                </listitem>
            </varlistentry>
            <varlistentry>
                <term>k</term>
                <listitem>
                    <para>
                        不安定かつ不可観測な部分空間の次元 (<literal> k&lt;=n</literal>).
                    </para>
                </listitem>
            </varlistentry>
            <varlistentry>
                <term>U</term>
                <listitem>
                    <para>直交行列</para>
                </listitem>
            </varlistentry>
            <varlistentry>
                <term>Sld</term>
                <listitem>
                    <para>
                        線形システム (<literal>syslin</literal> リスト)
                    </para>
                </listitem>
            </varlistentry>
            <varlistentry>
                <term>tol</term>
                <listitem>
                    <para>可制御性テストの閾値.</para>
                </listitem>
            </varlistentry>
        </variablelist>
    </refsection>
    <refsection>
        <title>説明</title>
        <para>
            状態空間表現の線形システム
            <literal>sl</literal>の可検出性テスト.
            <literal>U</literal> は基数で,
            その最初の<literal>k</literal>列に<literal>Sl</literal>の
            不安定かつ不可検出な部分空間
            (<literal>(A,C)</literal>の不可観測な部分空間と
            <literal>A</literal>の不安定な部分空間の共通集合)
            が広がります.
            可検出性は,<literal>k=0</literal>を意味します.
        </para>
        <para>
            <literal>Sld = (U'*A*U,U'*B,C*U,D)</literal> は,
            <literal>Sl=(A,B,C,D)</literal>の"可検出な部分"	を
            以下のように表示します.
        </para>
        <programlisting role=""><![CDATA[
         [*,*,*]
U'*A*U = [0,*,*]
         [0,0,*]
C*U = [0,0,*]
 ]]></programlisting>
        <para>
            <literal>(A33,C3)</literal>は可観測 (<literal>nx-n</literal>次),
            <literal>A22</literal> は可安定,
            ( <literal>n-k</literal>次) ,
            <literal>A11</literal> は不可安定 ( <literal>k</literal>次)です.
        </para>
    </refsection>
    <refsection>
        <title>例</title>
        <programlisting role="example"><![CDATA[
A=[2,1,1;0,-2,1;0,0,3];
C=[0,0,1];
X=rand(3,3);A=inv(X)*A*X;C=C*X;
W=syslin('c',A,[],C);
[k,n,U,W1]=dt_ility(W);
W1("A")
W1("C")
 ]]></programlisting>
    </refsection>
    <refsection role="see also">
        <title>参照</title>
        <simplelist type="inline">
            <member>
                <link linkend="contr">contr</link>
            </member>
            <member>
                <link linkend="st_ility">st_ility</link>
            </member>
            <member>
                <link linkend="unobs">unobs</link>
            </member>
            <member>
                <link linkend="stabil">stabil</link>
            </member>
        </simplelist>
    </refsection>
</refentry>
