Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
ZigangPan`NonlinearSystems`
NLdynamicextension  |
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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]:=
 | NLdynamicextension |
System already has uniform vector relative degree!
Out[2]=
{True,{1,1},{{1,0},{1,1}},{{x1,x2},{u1,u2},{y1,y2},{Function[{x1,x2,u1,u2},{-x1+x1x2+u1,-+u1+u2}],Function[{x1,x2,u1,u2},{x1,x2}]},{1,2},{1,2},{1,2},{},{1,2},{}}}
3
x2
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}}}
In[6]:=
| NLdynamicextension |
Out[6]=
{True,{2,2},{{1,2},{1,1}},{{x5,x1,x2,x3,x4},{u3,u4,u1,u2,w1},{y3,y4,y1,y2,z1},{Function[{x5,x1,x2,x3,x4,u3,u4,u1,u2,w1},{u3,u1+w1-x1++x3+x4+x5,u1-x1--x3+2x4+x5,u2+u4-x3,u2+u4-x4}],Function[{x5,x1,x2,x3,x4,u3,u4,u1,u2,w1},{x5,u4,x1,w1+x2,x2}]},{1,2},{3,4},{1,2,3,4},{5},{1,2,3,4},{5}},{{x5},{u3,u4},{y3,y4},{Function[{x5,u3,u4},{u3}],Function[{x5,u3,u4},{x5,u4}]},{1,2},{1,2},{1,2},{},{1,2},{}}}
2
x1
3
x2
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""