<?xml version="1.0" encoding="UTF-8"?>
<!--
 * Scilab ( https://www.scilab.org/ ) - This file is part of Scilab
 * Copyright (C) INRIA -
 * Copyright (C) 2012 - 2016 - Scilab Enterprises
 *
 * This file is hereby licensed under the terms of the GNU GPL v2.0,
 * 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
 * along with this program.
 *
 -->
<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="h2norm">
    <refnamediv>
        <refname>h2norm</refname>
        <refpurpose>H2 norm of a continuous time proper dynamical system</refpurpose>
    </refnamediv>
    <refsynopsisdiv>
        <title>Syntax</title>
        <synopsis>
          n = h2norm(Sl)
          n = h2norm(Sl, tol)
        </synopsis>
    </refsynopsisdiv>
    <refsection>
        <title>Arguments</title>
        <variablelist>
            <varlistentry>
                <term>Sl</term>
                <listitem>
                    <para>
                      Proper linear dynamical system in non-discrete (continuous or undefined)
                      time domain
                    </para>
                </listitem>
            </varlistentry>
            <varlistentry>
                <term>n</term>
                <listitem>
                    <para>real scalar</para>
                </listitem>
            </varlistentry>
        </variablelist>
    </refsection>
    <refsection>
        <title>Description</title>
        <para>
            produces the H2 norm of a linear continuous time system <literal>Sl</literal>.
        </para>
        <para>
            (For <literal>Sl</literal> in state-space form <literal>h2norm</literal> uses the observability
            gramian and for <literal>Sl</literal> in transfer form <literal>h2norm</literal> uses a residue method)
        </para>
    </refsection>
    <refsection>
        <title>Examples</title>
        <programlisting role="example"><![CDATA[
    s = %s;
    h = syslin('c',(2*0.9*10*s+100) / (s^2+2*0.3*10.1*s+102.01));
    h2norm(h)
    ]]></programlisting>
    </refsection>
    <refsection>
        <title>History</title>
        <revhistory>
            <revision>
                <revnumber>5.4.0</revnumber>
                <revremark>
                    <literal>Sl</literal> is now checked for non-discrete (continuous or undefined)
                    time linear dynamical system.
                </revremark>
            </revision>
        </revhistory>
    </refsection>
</refentry>
