Characterization of zeros in two-frequency-scale systems
Oloomi, Hossein M. Sawan, M. Edwin
Oloomi, Hossein M.
Sawan, M. Edwin
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1995-01-31
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Article
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Asymptotic behavior,Zeros,Two-frequency-scale systems
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H. M. Oloomi and M. E. Sawan, "Characterization of zeros in two-frequency-scale systems," in IEEE Transactions on Automatic Control, vol. 40, no. 1, pp. 92-96, Jan. 1995, doi: 10.1109/9.362895
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 v <0 or v= - 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. © 1995 IEEE
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This is an open access article under the CC BY license.
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IEEE / Institute of Electrical and Electronics Engineers Incorporated
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IEEE Transactions on Automatic Control
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00189286