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Reduced-Order Algorithm for Eigenvalue Assignment of Singularly Perturbed Linear Systems
Joint Authors
Gajic, Zoran
Yoo, Heonjong
Lee, Kyeong-Hwan
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-30
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
In this paper, we present an algorithm for eigenvalue assignment of linear singularly perturbed systems in terms of reduced-order slow and fast subproblem matrices.
No similar algorithm exists in the literature.
First, we present an algorithm for the recursive solution of the singularly perturbed algebraic Sylvester equation used for eigenvalue assignment.
Due to the presence of a small singular perturbation parameter that indicates separation of the system variables into slow and fast, the corresponding algebraic Sylvester equation is numerically ill-conditioned.
The proposed method for the recursive reduced-order solution of the algebraic Sylvester equations removes ill-conditioning and iteratively obtains the solution in terms of four reduced-order numerically well-conditioned algebraic Sylvester equations corresponding to slow and fast variables.
The convergence rate of the proposed algorithm is Oε, where ε is a small positive singular perturbation parameter.
American Psychological Association (APA)
Yoo, Heonjong& Gajic, Zoran& Lee, Kyeong-Hwan. 2020. Reduced-Order Algorithm for Eigenvalue Assignment of Singularly Perturbed Linear Systems. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1194780
Modern Language Association (MLA)
Yoo, Heonjong…[et al.]. Reduced-Order Algorithm for Eigenvalue Assignment of Singularly Perturbed Linear Systems. Mathematical Problems in Engineering No. 2020 (2020), pp.1-10.
https://search.emarefa.net/detail/BIM-1194780
American Medical Association (AMA)
Yoo, Heonjong& Gajic, Zoran& Lee, Kyeong-Hwan. Reduced-Order Algorithm for Eigenvalue Assignment of Singularly Perturbed Linear Systems. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1194780
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1194780