DocumentCode
1157831
Title
Conditions for the 2-D characteristic polynomial of a matrix to be very strict Hurwitz
Author
Agathoklis, P.
Author_Institution
Dept. of Electr. & Comput. Eng., Victoria Univ., BC, Canada
Volume
37
Issue
8
fYear
1989
fDate
8/1/1989 12:00:00 AM
Firstpage
1284
Lastpage
1286
Abstract
Conditions for the bivariate characteristic polynomial of a matrix to be very strict Hurwitz are presented. These conditions are based on the necessary and sufficient conditions for the existence of positive definite solutions to the 2-D continuous Lyapunov equation. It is shown that such an existence is only sufficient but not necessary for the characteristic polynomial to be very strict Hurwitz. Further, the testing of zeros at infinite distant points requires the use of a class of very strict positive real functions
Keywords
Lyapunov methods; matrix algebra; polynomials; 2-D characteristic polynomial; matrix; positive real functions; very strict Hurwitz; zeros; Acoustics; Continuous time systems; Eigenvalues and eigenfunctions; Equations; Frequency domain analysis; Polynomials; Stability analysis; Sufficient conditions; Symmetric matrices; System testing;
fLanguage
English
Journal_Title
Acoustics, Speech and Signal Processing, IEEE Transactions on
Publisher
ieee
ISSN
0096-3518
Type
jour
DOI
10.1109/29.31276
Filename
31276
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