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<?xml version="1.0" encoding="UTF-8"?>
<!--
* Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
* Copyright (C) INRIA -
*
* This file must be used under the terms of the CeCILL.
* This source file is licensed as described in the file COPYING, which
* you should have received as part of this distribution. The terms
* are also available at
* http://www.cecill.info/licences/Licence_CeCILL_V2.1-en.txt
*
-->
<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="en" xml:id="nehari">
<refnamediv>
<refname>nehari</refname>
<refpurpose>Nehari approximant of continuous time dynamical systems</refpurpose>
</refnamediv>
<refsynopsisdiv>
<title>Calling Sequence</title>
<synopsis>[x]=nehari(R [,tol])</synopsis>
</refsynopsisdiv>
<refsection>
<title>Arguments</title>
<variablelist>
<varlistentry>
<term>R</term>
<listitem>
<para>a continuous time linear dynamical system in state-space representation.</para>
</listitem>
</varlistentry>
<varlistentry>
<term>x</term>
<listitem>
<para>a continuous time linear dynamical system in state-space representation.</para>
</listitem>
</varlistentry>
<varlistentry>
<term>tol</term>
<listitem>
<para>optional threshold, default value is 1e-6.</para>
</listitem>
</varlistentry>
</variablelist>
</refsection>
<refsection>
<title>Description</title>
<para>
<literal>[x]=nehari(R [,tol])returns</literal> the Nehari approximant of <literal>R</literal>.
</para>
<para>
<literal>R</literal> = linear system in state-space representation (<literal>syslin</literal> list).
</para>
<para>
<literal>R</literal> is strictly proper and <literal>- R~</literal> is stable
(i.e. <literal>R</literal> is anti stable).
</para>
<programlisting role="no-scilab-exec"><![CDATA[
|| R - X ||oo = min || R - Y ||oo
Y in Hoo
]]></programlisting>
</refsection>
<refsection>
<title>History</title>
<revhistory>
<revision>
<revnumber>5.4.0</revnumber>
<revremark>
<literal>Sl</literal> is now checked for
continuous time linear dynamical system. This modification
has been introduced by this <ulink url="http://gitweb.scilab.org/?p=scilab.git;a=commit;h=3d7083daae3339813ba747c8adcda1f9599bb80d">commit</ulink>
</revremark>
</revision>
</revhistory>
</refsection>
</refentry>
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