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pole    See Also

Compute the poles of an LTI system

Syntax

Description

pole computes the poles p of the SISO or MIMO LTI model sys.

Algorithm

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.

Limitations

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

See Also

damp        Damping and natural frequency of system poles

esort, dsort  Sort system poles

pzmap       Pole-zero map

zero        Compute (transmission) zeros



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