Number: Control 62/95
Author(s): NURGES, Ylo.
Title: On the Schur stability and invariant transforms. 17 p., fig.
Language: English
Keywords: discrete-time systems; stability; polynomials
Availability:
ftp://ftp.ioc.ee/pub/reports/control/co62_95.ps.Z
ABSTRACT. A useful Schur stability test by so-called reflection
coefficients of the polynomials is recalled. A Schur invariant
transform is introduced which preserves all the reflection
coefficients inside the unit hypercube. Some simple necessary
stability conditions in terms of unions of polytopes are obtained
by splitting the unit hypercube of reflection coefficients. A
rule for generating sufficient stability conditions in terms of
simpleces is proposed using linear Schur invariant transforms.