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# zp2ss

Zero pole gain to state space

### Syntax

`S=zp2ss(z,p,k [,dt])`

### Arguments

z

a real or complex matrix, the ith column contains the transmission zeros relative to the ith output. If some zeros are complex, they must appear in complex conjugate pairs.

If the number of poles relative to the ith output is less than the max number of poles for each output, the ith column must be padded with %inf values.

p

a real or complex vector, the poles of the system. If some poles are complex, they must appear in complex conjugate pairs.

If the number of poles relative to the ith output is less than the max number of poles for each output, the ith column must be padded with %inf values.

k

a real scalar or a real vector, the ith element contains the gain relative to the ith output.

dom

a character string with possible values "c" or "d", [] or a real positive scalar, the system time domain (see syslin).

S

a single input linear system in state space representation.

### Description

Converts a zero pole gain representation to SIMO state space

### Examples

```Z=[2;1];P=[-5-%i;-5+%i;-3-%i;-3+%i];K=1;
S=zp2ss(Z,P,K,"c")
ssprint(S)
trzeros(S)```

### See Also

• ss2zp — SIMO state space system to zero pole gain representation
• trzeros — transmission zeros and normal rank

### History

 Версия Описание 6.0 Function added.
 Report an issue << tf2zp Linear System Representation zp2tf >>

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