Please use this identifier to cite or link to this item: http://hdl.handle.net/2440/59049
Type: Journal article
Title: Quadratic pencil pole assignment by affine sums
Author: Elhay, S.
Ram, Y.
Citation: The ANZIAM Journal - On-line full-text, 2004; 45:C592-C603
Publisher: Australian Mathematics Publ Assoc Inc
Issue Date: 2004
ISSN: 1446-8735
Statement of
Responsibility: 
S. Elhay and Yitshak M. Ram
Abstract: Differential equation models for damped vibrating systems are associated with quadratic matrix eigenvalue problems. The matrices in these systems are typically real and symmetric. The design and stabilisation of systems modelled by these equations require the determination of solutions to the inverse problem which are themselves real, symmetric and possibly with extra structure. In this paper we present a new method for pole assignment to a quadratic pencil by using affine sums. The method extends the work of Lancaster and Dai (1997) in which a similar problem for the generalized inverse eigenvalue problem is solved.
Rights: © Copyright 2004, American Mathematical Society
RMID: 0020096175
Appears in Collections:Computer Science publications

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