CHARACTERIZATION OF ZEROS IN 2-FREQUENCY-SCALE SYSTEMS

Authors
OLOOMI HM SAWAN ME
Citation
Hm. Oloomi et Me. Sawan, CHARACTERIZATION OF ZEROS IN 2-FREQUENCY-SCALE SYSTEMS, IEEE transactions on automatic control, 40(1), 1995, pp. 92-96
Citations number
17
Categorie Soggetti
Controlo Theory & Cybernetics","Robotics & Automatic Control","Engineering, Eletrical & Electronic
Journal title
IEEE transactions on automatic control → ACNP
ISSN journal
00189286
Volume
40
Issue
1
Year of publication
1995
Pages
92 - 96
Database
ISI
SICI code
0018-9286(1995)40:1<92:COZI2S>2.0.ZU;2-5
Abstract
We study the asymptotic behavior of the zeros of a two-frequency-scale transfer function in terms of the zeros of its slow and fast transfer functions. By introducing the notion of type index, we will show that all zeros of a two-frequency-scale transfer function with the type in dex of either upsilon greater than or equal to 0 or upsilon=-1 can be completely characterized in a manner that is quite similar to the char acterization of the poles. We also give a partial characterization for all other zeros in terms of the cardinality of their zero sets.