Title :
A stability test for discrete systems using Davis´ z-domain continued-fraction expansion
Author :
Hwang, Chyi ; Hwang, Jyh-Haur ; Tsay, Sun-Yuan
Author_Institution :
Dept. of Chem. Eng., Nat. Chung Cheug Univ., Chia, Taiwan
fDate :
8/1/1999 12:00:00 AM
Abstract :
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
Keywords :
discrete systems; poles and zeros; polynomials; stability; discrete reactance function; discrete systems; polynomial; root-locus technique; stability test; unit circle; z-domain continued-fraction expansion; zero distribution; Chemical engineering; Circuit stability; Circuit synthesis; Circuit testing; Network synthesis; Polynomials; Reduced order systems; Scattering; Sufficient conditions; System testing;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
