rational

Scilab Objects
Last update : April 1993

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 `tlist(['r','num','den','dt'],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];
    tlist(['r','num','den','dt'],Num,Den,[])
    H=Num./Den
    syslin('c',Num,Den)
    syslin('c',H)
    [Num1,Den1]=simp(Num,Den)

### See Also

`poly` , `syslin` , `simp` ,