Karow, Michael, Hinrichsen, Diederich and Pritchard, Anthony J. (2006) Stability radii and spectral value sets for generalized Gershgorin perturbations. In: 45th IEEE Conference on Decision and Control, San Diego, CA, DEC 13-15, 2006. Published in: PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14 pp. 5760-5765.

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Abstract

In this paper We study the variation of the spectrum of block-diagonal systems under perturbations of compatible block structure with fixed zero blocks at arbitrarily prescribed locations ("Gershgorin type perturbations"). We derive explicit and computable formulae for the associated p,values. The results are then applied to characterize spectral value sets and stability radii for such perturbed systems. By specializing our results to the scalar diagonal case the classical eigenvalue inclusion theorem of Brualdi is obtained as a corollary.

Item Type:	Conference Item (UNSPECIFIED)
Subjects:	T Technology > TL Motor vehicles. Aeronautics. Astronautics T Technology > TK Electrical engineering. Electronics Nuclear engineering
Series Name:	IEEE Conference on Decision and Control
Journal or Publication Title:	PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14
Publisher:	IEEE
ISBN:	978-1-4244-0170-3
ISSN:	0191-2216
Date:	2006
Number of Pages:	6
Page Range:	pp. 5760-5765
Publication Status:	Published
Title of Event:	45th IEEE Conference on Decision and Control
Location of Event:	San Diego, CA
Date(s) of Event:	DEC 13-15, 2006
URI:	http://wrap.warwick.ac.uk/id/eprint/30718

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