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Title: Infinite eigenvalue assignment for singular systems
Authors: Chu, D. 
Ho, D.W.C.
Keywords: Infinite eigenvalue
Numerical algorithms
Orthogonal transformations
Singular systems
Issue Date: 1-Sep-1999
Citation: Chu, D.,Ho, D.W.C. (1999-09-01). Infinite eigenvalue assignment for singular systems. Linear Algebra and Its Applications 298 (1-3) : 21-37. ScholarBank@NUS Repository.
Abstract: In this paper, the infinite eigenvalue assignment problem for singular systems is studied. Necessary and sufficient conditions are presented under which there exists a state feedback such that the closed-loop system is regular and has only infinite eigenvalues. The main result is proved constructively based on some simple numerical algorithms. These numerical algorithms consist of an orthogonal reduction to an upper (block) Hessenberg form and a simple linear recursion deduced from 2 x 2 Givens transformations. © 1999 Elsevier Science Inc. All rights reserved.
Source Title: Linear Algebra and Its Applications
ISSN: 00243795
Appears in Collections:Staff Publications

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