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A stability test for discrete systems using Davis' z-domain continued-fraction expansion

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3 Author(s)
Hwang, Chyi ; Dept. of Chem. Eng., Nat. Chung Cheug Univ., Chia, Taiwan ; Jyh-Haur Hwang ; Sun-Yuan Tsay

Based on the process of expanding a discrete reactance function into Davis' z-domain continued fractions and the use of the root-locus technique, we derive in this paper necessary and sufficient conditions for a polynomial to have all its zeros inside the unit circle. In addition, we present a procedure for counting the zero distribution of a polynomial with respect to the unit circle

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Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on  (Volume:46 ,  Issue: 8 )