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# pfss

partial fraction decomposition

### Syntax

elts=pfss(Sl) elts=pfss(Sl,rmax) elts=pfss(Sl,cord) elts=pfss(Sl,rmax,cord)

### Arguments

### Description

Partial fraction decomposition of the linear system `Sl`

.

`elts`

is the list of linear systems which add up to `Sl`

i.e. `elts=list(S1,S2,S3,...,Sn)`

with:

`Sl = S1 + S2 +... +Sn`

.

Each `Si`

contains some poles of ```
Saccording to the
block-diagonalization of the
```

`A`

matrix of `S`

.

For non proper systems the polynomial part of `Sl`

is put
in the last entry of `elts`

.

If `Sl`

is given in transfer form, it is first
converted into state-space by tf2ss
and each subsystem `Si`

is then converted in
transfer form by ss2tf.

The A matrix is of the state-space is put into block diagonal form
by function bdiag. The optional parameter
`rmax`

is sent to `bdiag`

,
`rmax`

should be set to a large number to enforce
block-diagonalization.

If the optional flag `cord='c'`

is given the elements in `elts`

are sorted according to the real part (resp. magnitude if `cord='d'`

)
of the eigenvalues of A matrices.

### Examples

num=22801+4406.18*s+382.37*s^2+21.02*s^3+s^4; den=22952.25+4117.77*s+490.63*s^2+33.06*s^3+s^4 h2=syslin('c',num/den);

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