DocumentCode
1506561
Title
On the spectrum of convex sets of matrices
Author
Monov, V.V.
Author_Institution
Inst. of Inf. Technol., Bulgarian Acad. of Sci., Sofia, Bulgaria
Volume
44
Issue
5
fYear
1999
fDate
5/1/1999 12:00:00 AM
Firstpage
1009
Lastpage
1012
Abstract
Let K be an arbitrary compact convex set of square matrices. This paper presents necessary and sufficient conditions for the spectrum of K to have no eigenvalues in a prespecified closed convex subset of the complex plane. The obtained result implies different criteria for analysis of the spectral set of K. In particular, we have formulated criteria for nonsingularity, inertia and Hurwitz stability of K which can be used in the robustness analysis of linear control systems with uncertain parameters
Keywords
control system analysis; eigenvalues and eigenfunctions; matrix algebra; robust control; uncertain systems; Hurwitz stability; closed convex subset; compact convex set; convex set spectrum; eigenvalues; inertia; linear control systems; necessary and sufficient conditions; nonsingularity; robustness analysis; square matrix set; uncertain parameters; Control system analysis; Control systems; Eigenvalues and eigenfunctions; Equations; Robust control; Robust stability; Spectral analysis; Stability analysis; Stability criteria; Sufficient conditions;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.763218
Filename
763218
Link To Document