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Title: | Mobius and Delta Transforms in The Unification of Continous-Disrete Space |
Other Titles: | Mobius and Delta Transforms in The Unification of Continous-Discrete Space |
Authors: | T., Bakhtiar Samsurizal N., Nuralaitiningtyas |
Issue Date: | Dec-2013 |
Publisher: | Bogor Agricultural University (IPB) Bogor Agricultural University (IPB) |
Citation: | Jurnal Matematika dan Aplikasinya, Vol. 12.,No. 2, Desember 2013 |
Series/Report no.: | Volume 12;Nomor 2 |
Abstract: | Abstract It is well-known that in control theory the stability region of continuoustime system is laid in the left half plane of complex space, while that of discrete-time system is dwelled inside a unit circle. The former fact might be shown by exploiting the Laplace transform and the later by utilizing the corresponding zeta transform. In this paper we revealed the connectivity of both regions by employing Mobius transform. We also used the same transform to derive continuous/discrete-time counterpart of several existing results, including Bode integral and Poisson-Jensen formula. We then demonstrated their unication property by using delta transform. Some numerical examples were provided to verify our results. Keywords: continuous-discrete unication, Mobius transform, delta transform, stability |
URI: | http://repository.ipb.ac.id/handle/123456789/79170 |
ISSN: | 1412-677X |
Appears in Collections: | Published By Media |
Files in This Item:
File | Size | Format | |
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2. JMA-VOL 12-NO 2-TBK-SAMSURIZAL-NAV.pdf | 266.52 kB | Adobe PDF | View/Open |
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