Robustness of Eigenvalue-Clustering in a Ring Region for Linear Perturbed Discrete Time-Delay Systems
Summary :
In this paper, under the assumption that all the eigenvalues of a linear nominal discrete time-delay system lie within a specified ring region, a sufficient condition is proposed to preserve the assumed property when the structured parameter perturbations are added into the linear nominal discrete time-delay system. For the case of eigenvalue-clustering in a circular region, and for the case of not including time delays, the presented sufficient condition is mathematically proved to be less conservative than those reported recently in the literature.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E84-A No.6 pp.1557-1563
- Publication Date
- 2001/06/01
- Publicized
- Online ISSN
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- Type of Manuscript
- PAPER
- Category
- Systems and Control
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Chen Huei HSIEH, Jyh Horng CHOU, Ying Jeng WU, "Robustness of Eigenvalue-Clustering in a Ring Region for Linear Perturbed Discrete Time-Delay Systems" in IEICE TRANSACTIONS on Fundamentals,
vol. E84-A, no. 6, pp. 1557-1563, June 2001, doi: .
Abstract: In this paper, under the assumption that all the eigenvalues of a linear nominal discrete time-delay system lie within a specified ring region, a sufficient condition is proposed to preserve the assumed property when the structured parameter perturbations are added into the linear nominal discrete time-delay system. For the case of eigenvalue-clustering in a circular region, and for the case of not including time delays, the presented sufficient condition is mathematically proved to be less conservative than those reported recently in the literature.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e84-a_6_1557/_p
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@ARTICLE{e84-a_6_1557,
author={Chen Huei HSIEH, Jyh Horng CHOU, Ying Jeng WU, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Robustness of Eigenvalue-Clustering in a Ring Region for Linear Perturbed Discrete Time-Delay Systems},
year={2001},
volume={E84-A},
number={6},
pages={1557-1563},
abstract={In this paper, under the assumption that all the eigenvalues of a linear nominal discrete time-delay system lie within a specified ring region, a sufficient condition is proposed to preserve the assumed property when the structured parameter perturbations are added into the linear nominal discrete time-delay system. For the case of eigenvalue-clustering in a circular region, and for the case of not including time delays, the presented sufficient condition is mathematically proved to be less conservative than those reported recently in the literature.},
keywords={},
doi={},
ISSN={},
month={June},}
Copy
TY - JOUR
TI - Robustness of Eigenvalue-Clustering in a Ring Region for Linear Perturbed Discrete Time-Delay Systems
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1557
EP - 1563
AU - Chen Huei HSIEH
AU - Jyh Horng CHOU
AU - Ying Jeng WU
PY - 2001
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E84-A
IS - 6
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - June 2001
AB - In this paper, under the assumption that all the eigenvalues of a linear nominal discrete time-delay system lie within a specified ring region, a sufficient condition is proposed to preserve the assumed property when the structured parameter perturbations are added into the linear nominal discrete time-delay system. For the case of eigenvalue-clustering in a circular region, and for the case of not including time delays, the presented sufficient condition is mathematically proved to be less conservative than those reported recently in the literature.
ER -
English
