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Automatica, Vol.41, No.1, 173-176, 2005
The Schur stability via the Hurwitz stability analysis using a biquadratic transformation
In this note, it is shown that instead of a bilinear transformation, a biquadratic transformation can be used to determine the Schur stability of a given discrete-time polynomial by determining the Hurwitz stability of the corresponding continuous-time polynomial. However. using a biquadratic transformation, the analysis is not limited by any restriction on the root positions. Several numerical examples are provided to illustrate the procedure. (C) 2004 Elsevier Ltd. All rights reserved.
Keywords:Schur stability;Hurwitz stability;discrete-time systems;bilinear transformation;parametric controller design