Title :
Characterization of zeros in two-frequency-scale systems
Author :
Oloomi, Hossein M. ; Sawan, Mahmoud E.
Author_Institution :
Dept. of Electr. Eng., Purdue Univ., Fort Wayne, IN, USA
fDate :
1/1/1995 12:00:00 AM
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 index of either ν⩾0 or ν=-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
Keywords :
poles and zeros; transfer functions; asymptotic behavior; fast transfer functions; slow transfer functions; two-frequency-scale systems; two-frequency-scale transfer function; type index; zero characterization; zero set cardinality; Control theory; Frequency domain analysis; H infinity control; Hafnium; Performance analysis; Poles and zeros; Polynomials; Testing; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
