Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
ZigangPan`NonlinearSystems`
NLcalculaterelativedegree  |
| {vectorrelativedegree,relativedegrees,highfrequencygain}=NLcalculaterelativedegree[nlsystem] nlsystem nlsystem relativedegrees highfrequencygain | |
Examples
(1)
Basic Examples
(1)
In[1]:=
nlsystem7={{x1,x2},{u1,u2},{y1,y2},{Function[{x1,x2,u1,u2},{-x1+x1*x2+u1,-x2^3+u1+u2}],Function[{x1,x2,u1,u2},{x1,x2}]},{1,2},{1,2},{1,2},{},{1,2},{}};
In[2]:=
 | NLcalculaterelativedegree |
Out[2]=
{True,{1,1},{{1,0},{1,1}}}
In[3]:=
nlsystem={{x1,x2,x3,x4},{u1,u2,w1},{y1,y2,z1},{Function[{x1,x2,x3,x4,u1,u2,w1},{-x1+x3+x4+x1^2+u1+w1,-x1-x2^3-x3+2x4+u1,-x3+u2,-x4+u2}],Function[{x1,x2,x3,x4,u1,u2,w1},{x1,x2+w1,x2}]},{1,2},{1,2},{1,2},{3},{1,2},{3}};
In[4]:=
| NLsystemcheck |
Out[4]=
True
In[5]:=
| NLcalculaterelativedegree |
Out[5]=
{False,{1,1},{{1,0},{1,0}}}
 |
|
""