| Control System Toolbox™ | |
pole
pole computes the poles p of the SISO or MIMO LTI model sys.
For state-space models, the poles are the eigenvalues of the
matrix, or the
generalized eigenvalues of
in the descriptor case.
For SISO transfer functions or zero-pole-gain models, the poles are simply the denominator roots (see roots).
For MIMO transfer functions (or zero-pole-gain models), the poles are computed as the union of the poles for each SISO entry. If some columns or rows have a common denominator, the roots of this denominator are counted only once.
Multiple poles are numerically sensitive and cannot be
computed to high accuracy. A pole
with multiplicity
typically gives
rise to a cluster of computed poles distributed on a circle with center
and radius of order
where
is the relative machine precision (eps).
damp, esort, dsort, pzmap, zero
| place | pzmap | |
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