Singular

D.11.2.3 autonom

Usage:

autonom(R); R a module (R is a matrix of the system of equations which is to be investigated)

Return:

list

Purpose:

find all the properties concerning autonomy of the system (behavior) represented by the matrix R

Note:

the properties and corresponding data like autonomy resp. strong autonomy, dimension of the system, autonomy degree, kernel representation and (over)determinacy are investigated

LIB "control.lib";
// Cauchy
ring r=0,(s1,s2,s3,s4),dp;
module R= [s1,-s2],
[s2, s1],
[s3,-s4],
[s4, s3];
R=transpose(R);
view( R );
==> s1,-s2,
==> s2,s1 ,
==> s3,-s4,
==> s4,s3 
view( autonom(R) );
==> number of first nonzero Ext:
==> 
==> 2
==> 
==> overdetermined, not strongly autonomous
==> 
==> dimension of the system:
==> 
==> 2
==>