학술논문
A New Asymptotic Stability Criterion for Linear Discrete-Time Systems
Document Type
Periodical
Author
Source
IEEE Transactions on Circuits and Systems II: Express Briefs IEEE Trans. Circuits Syst. II Circuits and Systems II: Express Briefs, IEEE Transactions on. 69(12):4994-4998 Dec, 2022
Subject
Language
ISSN
1549-7747
1558-3791
1558-3791
Abstract
In this brief, a new criterion to determine whether the roots of a polynomial $p(z^{-1})$ with real coefficients are strictly inside the unit circle is presented. It is based on representing the polynomial in a form corresponding to the characteristic polynomial of a closed-loop systems in which all-pass transfer functions are included in both direct chain and feedback loop. The novel and simple criterion for assessing the asymptotic stability of linear discrete-time systems is proved applying the small-gain theorem in the discrete-time domain.