Characterization of zeros in two-frequency-scale systems

Characterization of zeros in two-frequency-scale systems

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 index of either /spl n...

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Veröffentlicht in:IEEE transactions on automatic control 1995-01, Vol.40 (1), p.92-96
Hauptverfasser: Oloomi, H.M., Sawan, M.E.
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
Computer science
control theory
systems
Control theory
Control theory. Systems
Exact sciences and technology
Frequency domain analysis
H infinity control
Hafnium
Performance analysis
Poles and zeros
Polynomials
System theory
Testing
Transfer functions
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Beschreibung
Zusammenfassung: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 index of either /spl nu//spl ges/0 or /spl nu/=-1 can be completely characterized in a manner that is quite similar to the characterization of the poles. We also give a partial characterization for all other zeros in terms of the cardinality of their zero sets.< >
ISSN:0018-9286
1558-2523
DOI:10.1109/9.362895