Eigenvalue Bounds for a Certain Class of Interval Matrices
Summary :
It is shown that for a class of interval matrices we can estimate the location of eigenvalues in a very simple way. This class is characterized by the property that eigenvalues of any real linear combination of member matrices are all real and thus includes symmetric interval matrices as a subclass. Upper and lower bounds for each eigenvalue of such a class of interval matrices are provided. This enables us to obtain Hurwitz stability conditions and Schur ones for the class of interval matrices and positive definiteness conditions for symmetric interval matrices.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E77-A No.10 pp.1707-1709
- Publication Date
- 1994/10/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- LETTER
- Category
- Control and Computing
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Takehiro MORI, Hideki KOKAME, "Eigenvalue Bounds for a Certain Class of Interval Matrices" in IEICE TRANSACTIONS on Fundamentals,
vol. E77-A, no. 10, pp. 1707-1709, October 1994, doi: .
Abstract: It is shown that for a class of interval matrices we can estimate the location of eigenvalues in a very simple way. This class is characterized by the property that eigenvalues of any real linear combination of member matrices are all real and thus includes symmetric interval matrices as a subclass. Upper and lower bounds for each eigenvalue of such a class of interval matrices are provided. This enables us to obtain Hurwitz stability conditions and Schur ones for the class of interval matrices and positive definiteness conditions for symmetric interval matrices.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e77-a_10_1707/_p
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@ARTICLE{e77-a_10_1707,
author={Takehiro MORI, Hideki KOKAME, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Eigenvalue Bounds for a Certain Class of Interval Matrices},
year={1994},
volume={E77-A},
number={10},
pages={1707-1709},
abstract={It is shown that for a class of interval matrices we can estimate the location of eigenvalues in a very simple way. This class is characterized by the property that eigenvalues of any real linear combination of member matrices are all real and thus includes symmetric interval matrices as a subclass. Upper and lower bounds for each eigenvalue of such a class of interval matrices are provided. This enables us to obtain Hurwitz stability conditions and Schur ones for the class of interval matrices and positive definiteness conditions for symmetric interval matrices.},
keywords={},
doi={},
ISSN={},
month={October},}
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TY - JOUR
TI - Eigenvalue Bounds for a Certain Class of Interval Matrices
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1707
EP - 1709
AU - Takehiro MORI
AU - Hideki KOKAME
PY - 1994
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E77-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 1994
AB - It is shown that for a class of interval matrices we can estimate the location of eigenvalues in a very simple way. This class is characterized by the property that eigenvalues of any real linear combination of member matrices are all real and thus includes symmetric interval matrices as a subclass. Upper and lower bounds for each eigenvalue of such a class of interval matrices are provided. This enables us to obtain Hurwitz stability conditions and Schur ones for the class of interval matrices and positive definiteness conditions for symmetric interval matrices.
ER -
English
