Jury, E. I. A note on aperiodicity condition for linear discrete systems. (English) Zbl 0572.93060 IEEE Trans. Autom. Control 30, 1100-1101 (1985). Conditions for the roots of a real polynomial to lie in the segment [0,1), i.e. aperiodicity conditions are obtained. The conditions are based on a nonlinear transformation which transforms the segment [0,1) onto the periphery of the unit circle. The results of this note correct the earlier proposed corollary obtained by E. Szaraniec [see Automatica 9, 513-516 (1973; Zbl 0257.93027)] using this transformation and present a test for verifying the aperiodicity condition. Cited in 3 Documents MSC: 93D20 Asymptotic stability in control theory 93C05 Linear systems in control theory 93C55 Discrete-time control/observation systems 93B17 Transformations 30C15 Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) Keywords:aperiodicity conditions; nonlinear transformation PDF BibTeX XML Cite \textit{E. I. Jury}, IEEE Trans. Autom. Control 30, 1100--1101 (1985; Zbl 0572.93060) Full Text: DOI