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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="dtsi">
<refnamediv>
<refname>dtsi</refname>
<refpurpose>Continuous time dynamical systems stable anti-stable decomposition</refpurpose>
</refnamediv>
<refsynopsisdiv>
<title>Calling Sequence</title>
<synopsis>[Ga,Gs,Gi]=dtsi(G,[tol])</synopsis>
</refsynopsisdiv>
<refsection>
<title>Arguments</title>
<variablelist>
<varlistentry>
<term>G</term>
<listitem>
<para>a continuous time linear system.</para>
</listitem>
</varlistentry>
<varlistentry>
<term>Ga</term>
<listitem>
<para>a continuous time linear system antistable and strictly proper.</para>
</listitem>
</varlistentry>
<varlistentry>
<term>Gs</term>
<listitem>
<para>a continuous time linear system stable and strictly proper.</para>
</listitem>
</varlistentry>
<varlistentry>
<term>Gi</term>
<listitem>
<para>real matrix (or polynomial matrix for improper systems)</para>
</listitem>
</varlistentry>
<varlistentry>
<term>tol</term>
<listitem>
<para>
optional parameter for detecting stables poles. Default value: <literal>100*%eps</literal>
</para>
</listitem>
</varlistentry>
</variablelist>
</refsection>
<refsection>
<title>Description</title>
<para>
returns the stable-antistable decomposition of <literal>G</literal>:
</para>
<para>
<literal>G= Ga + Gs + Gi</literal>, <literal>(Gi = G(oo))</literal>
</para>
<para>
<literal>G</literal> can be given in state-space form or in transfer form.
</para>
<para>
<literal>Ga</literal> and <literal>Gs</literal> are returned in the same
representation (transfer function or state-space) than
<literal>G</literal>.
</para>
</refsection>
<refsection role="see also">
<title>See Also</title>
<simplelist type="inline">
<member>
<link linkend="syslin">syslin</link>
</member>
<member>
<link linkend="pbig">pbig</link>
</member>
<member>
<link linkend="psmall">psmall</link>
</member>
<member>
<link linkend="pfss">pfss</link>
</member>
</simplelist>
</refsection>
<refsection>
<title>Examples</title>
<programlisting role="example"><![CDATA[
a=0.5;
b=1;
c=2;
sl=syslin('c',a,b,c);
dtsi(sl)
]]></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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