zero (Control System Toolbox)

Transmission zeros of LTI models

Syntax

```
z = zero(sys)
[z,gain] = zero(sys)
```

Description

zero computes the zeros of SISO systems and the transmission zeros of MIMO systems. For a MIMO system with matrices , the transmission zeros are the complex values for which the normal rank of

drops.

z = zero(sys) returns the (transmission) zeros of the LTI model sys as a column vector.

[z,gain] = zero(sys) also returns the gain (in the zero-pole-gain sense) if sys is a SISO system.

Algorithm

zero is based on SLICOT routine AB08NX. Also use LAPACK routines DGEEV and DGEGV (and their complex counterparts) for eigenvalue computation.

The transmission zeros are computed using the algorithm in [1].

References

[1] Emami-Naeini, A. and P. Van Dooren, "Computation of Zeros of Linear Multivariable Systems," Automatica, 18 (1982), pp. 415-430.

See Also
pole Compute the poles of an LTI model

pzmap Compute the pole-zero map

totaldelay zgrid