an:03914214
Zbl 0572.93060
Jury, E. I.
A note on aperiodicity condition for linear discrete systems
EN
IEEE Trans. Autom. Control 30, 1100-1101 (1985).
00149892
1985
j
93D20 93C05 93C55 93B17 30C15
aperiodicity conditions; nonlinear transformation
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 \textit{E. Szaraniec} [see Automatica 9, 513-516 (1973; Zbl 0257.93027)] using this transformation and present a test for verifying the aperiodicity condition.
Zbl 0257.93027