rational

Scilab objects, rational in Scilab

Description

A rational r is a quotient of two polynomials r=num/den. The internal representation of a rational is a list. r=tlist(‘[‘r’,’num’,’den’,’dt’],num,den,[]) is the same as r=num/den. A rational matrix can be defined with the usual syntax e.g. [r11,r12;r21,r22] is a 2x2 matrix where rij are 1x1 rationals. A rational matrix can also be defined as above as a list rlist(num,den,[]) with num and den polynomial matrices.

Examples

s=`poly`_(0,'s');
W=[1/s,1/(s+1)]
W'*W
Num=[s,s+2;1,s];Den=[s*s,s;s,s*s];
`rlist`_(Num,Den,[])
H=Num./Den
`syslin`_('c',Num,Den)
`syslin`_('c',H)
[Num1,Den1]=`simp`_(Num,Den)

See Also

  • poly polynomial definition
  • syslin linear system definition
  • simp rational simplification

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