Realization of Homogeneous Positive Real Functions with Denominators Composed of Linear Factors
Summary :
The present paper deals with the realization of a class of homogeneous positive real function, that is, the class of function with denominator composed of linear factors only. The theories are stated by the following steps.
(a) Firstly, two basic theorems on the homogeneous positive real functions are presented.
(b) Secondly, the theory of partial fraction expansion of the given function with denominator composed of linear factors, is presented. Here, any partial fraction is a homogeneous positive real function of degree two.
(c) Lastly, the realization procedures of the partial fractions are presented.
- Publication
- IEICE TRANSACTIONS on transactions Vol.E61-E No.8 pp.604-608
- Publication Date
- 1978/08/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Circuit Theory
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Shun-ichi OKABE, Hiroshi OZAKI, "Realization of Homogeneous Positive Real Functions with Denominators Composed of Linear Factors" in IEICE TRANSACTIONS on transactions,
vol. E61-E, no. 8, pp. 604-608, August 1978, doi: .
Abstract: The present paper deals with the realization of a class of homogeneous positive real function, that is, the class of function with denominator composed of linear factors only. The theories are stated by the following steps.
(a) Firstly, two basic theorems on the homogeneous positive real functions are presented.
(b) Secondly, the theory of partial fraction expansion of the given function with denominator composed of linear factors, is presented. Here, any partial fraction is a homogeneous positive real function of degree two.
(c) Lastly, the realization procedures of the partial fractions are presented.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e61-e_8_604/_p
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@ARTICLE{e61-e_8_604,
author={Shun-ichi OKABE, Hiroshi OZAKI, },
journal={IEICE TRANSACTIONS on transactions},
title={Realization of Homogeneous Positive Real Functions with Denominators Composed of Linear Factors},
year={1978},
volume={E61-E},
number={8},
pages={604-608},
abstract={The present paper deals with the realization of a class of homogeneous positive real function, that is, the class of function with denominator composed of linear factors only. The theories are stated by the following steps.
(a) Firstly, two basic theorems on the homogeneous positive real functions are presented.
(b) Secondly, the theory of partial fraction expansion of the given function with denominator composed of linear factors, is presented. Here, any partial fraction is a homogeneous positive real function of degree two.
(c) Lastly, the realization procedures of the partial fractions are presented.},
keywords={},
doi={},
ISSN={},
month={August},}
Copy
TY - JOUR
TI - Realization of Homogeneous Positive Real Functions with Denominators Composed of Linear Factors
T2 - IEICE TRANSACTIONS on transactions
SP - 604
EP - 608
AU - Shun-ichi OKABE
AU - Hiroshi OZAKI
PY - 1978
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E61-E
IS - 8
JA - IEICE TRANSACTIONS on transactions
Y1 - August 1978
AB - The present paper deals with the realization of a class of homogeneous positive real function, that is, the class of function with denominator composed of linear factors only. The theories are stated by the following steps.
(a) Firstly, two basic theorems on the homogeneous positive real functions are presented.
(b) Secondly, the theory of partial fraction expansion of the given function with denominator composed of linear factors, is presented. Here, any partial fraction is a homogeneous positive real function of degree two.
(c) Lastly, the realization procedures of the partial fractions are presented.
ER -
English
