Polygon Interval Arithmetic and Interval Evaluation of Value Sets of Transfer Functions
Summary :
Data of system parameters of real systems have some uncertainty and they should be given by sets (or intervals) rather than fixed values. To analyze and design systems contaning such uncertain parameters, it is required to represent and treat uncertainty in data of parameters, and to compute value sets of characteristic polynomials and transfer functions. Interval arithmetic is one of the most powerful tools to perform such subjects. In this paper, Polygon Interval Arithmetic (PIA) on the set of polygons in the complex plane is considered, and the data structure and algorithms to execute PIA efficiently is proposed. Moreover, practical examples are shown to demonstrate how PIA is useful to compute the evaluation of value sets.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E77-A No.6 pp.1033-1042
- Publication Date
- 1994/06/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Algorithms, Data Structures and Computational Complexity
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Yuzo OHTA, Lei GONG, Hiromasa HANEDA, "Polygon Interval Arithmetic and Interval Evaluation of Value Sets of Transfer Functions" in IEICE TRANSACTIONS on Fundamentals,
vol. E77-A, no. 6, pp. 1033-1042, June 1994, doi: .
Abstract: Data of system parameters of real systems have some uncertainty and they should be given by sets (or intervals) rather than fixed values. To analyze and design systems contaning such uncertain parameters, it is required to represent and treat uncertainty in data of parameters, and to compute value sets of characteristic polynomials and transfer functions. Interval arithmetic is one of the most powerful tools to perform such subjects. In this paper, Polygon Interval Arithmetic (PIA) on the set of polygons in the complex plane is considered, and the data structure and algorithms to execute PIA efficiently is proposed. Moreover, practical examples are shown to demonstrate how PIA is useful to compute the evaluation of value sets.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e77-a_6_1033/_p
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@ARTICLE{e77-a_6_1033,
author={Yuzo OHTA, Lei GONG, Hiromasa HANEDA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Polygon Interval Arithmetic and Interval Evaluation of Value Sets of Transfer Functions},
year={1994},
volume={E77-A},
number={6},
pages={1033-1042},
abstract={Data of system parameters of real systems have some uncertainty and they should be given by sets (or intervals) rather than fixed values. To analyze and design systems contaning such uncertain parameters, it is required to represent and treat uncertainty in data of parameters, and to compute value sets of characteristic polynomials and transfer functions. Interval arithmetic is one of the most powerful tools to perform such subjects. In this paper, Polygon Interval Arithmetic (PIA) on the set of polygons in the complex plane is considered, and the data structure and algorithms to execute PIA efficiently is proposed. Moreover, practical examples are shown to demonstrate how PIA is useful to compute the evaluation of value sets.},
keywords={},
doi={},
ISSN={},
month={June},}
Copy
TY - JOUR
TI - Polygon Interval Arithmetic and Interval Evaluation of Value Sets of Transfer Functions
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1033
EP - 1042
AU - Yuzo OHTA
AU - Lei GONG
AU - Hiromasa HANEDA
PY - 1994
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E77-A
IS - 6
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - June 1994
AB - Data of system parameters of real systems have some uncertainty and they should be given by sets (or intervals) rather than fixed values. To analyze and design systems contaning such uncertain parameters, it is required to represent and treat uncertainty in data of parameters, and to compute value sets of characteristic polynomials and transfer functions. Interval arithmetic is one of the most powerful tools to perform such subjects. In this paper, Polygon Interval Arithmetic (PIA) on the set of polygons in the complex plane is considered, and the data structure and algorithms to execute PIA efficiently is proposed. Moreover, practical examples are shown to demonstrate how PIA is useful to compute the evaluation of value sets.
ER -
English
