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<?xml version="1.0" encoding="UTF-8"?>
<!--
*
* This help file was generated from isstable.sci using help_from_sci().
*
-->
<refentry version="5.0-subset Scilab" xml:id="isstable" xml:lang="en"
xmlns="http://docbook.org/ns/docbook"
xmlns:xlink="http://www.w3.org/1999/xlink"
xmlns:svg="http://www.w3.org/2000/svg"
xmlns:ns3="http://www.w3.org/1999/xhtml"
xmlns:mml="http://www.w3.org/1998/Math/MathML"
xmlns:scilab="http://www.scilab.org"
xmlns:db="http://docbook.org/ns/docbook">
<refnamediv>
<refname>isstable</refname>
<refpurpose>Checks stability of given Discrete time system function</refpurpose>
<para> </para>
</refnamediv>
<refsynopsisdiv>
<title>Calling Sequence</title>
<synopsis>
flag = ismaxphase(b,a)
flag = ismaxphase(sos)
</synopsis>
<para> </para>
</refsynopsisdiv>
<refsection>
<title>Parameters</title>
<variablelist>
<varlistentry><term>b</term>
<listitem><para> Coefficients of numerator polynomial of system function </para></listitem></varlistentry>
<varlistentry><term>a</term>
<listitem><para> Coefficients of denumerator polynomial of system function</para></listitem></varlistentry>
<varlistentry><term>sos</term>
<listitem><para> Second order section matrix of order Kx6 </para></listitem></varlistentry>
<varlistentry><term>flag</term>
<listitem><para> This function returns logical 1 if system is Stable (flag = 1) </para> <para> Otherwise it returns logical 0 (flag = 0)</para></listitem></varlistentry>
</variablelist>
<para> </para>
</refsection>
<refsection>
<title>Description</title>
<para> This function determines whether the given system function is Stable system function or not. Stable system means all poles of transfer function will be inside the unit circle in z-plane </para>
<para> </para>
</refsection>
<refsection>
<title>Example : 1 <para>Example of stable system function </para> </title>
<para>
<latex>
\begin{eqnarray}
H(z) = \frac{1 +2z^{-1} } {1 -0.7z^{-1} + 0.1 z^{-2} }
\end{eqnarray}
</latex>
</para>
<para> </para>
<programlisting role="example"><![CDATA[
b = [1 2] ; //Numerator polynomial coefficients
a = [1 -0.7 0.1] ; //Denumerator polynomial coefficients
flag = isstable(b,a) //This is an example of Stable system, hence it will give output as : flag = 1
]]></programlisting>
</refsection>
<refsection>
<title> Example : 2 <para>Example of unstable system function</para> </title>
<para>
<latex>
\begin{eqnarray}
H(z) = \frac{1 +2z^{-1} } {1 +5z^{-1} + 6z^{-2} }
\end{eqnarray}
</latex>
</para>
<para> </para>
<programlisting role="example"><![CDATA[
b = [1 2] ; //Numerator polynomial coefficients
a = [1 5 6] ; //Denumerator polynomial coefficients
flag = isstable(b,a) //This is an example of Unstable system, hence it will give output as : flag = 0
]]></programlisting>
</refsection>
</refentry>
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