DocumentCode
966292
Title
A sufficient condition for the stability of matrix polynomials
Author
Resende, Peterson ; Kaszkurewicz, Eugenius
Author_Institution
Dept. of Electron. Eng., Minas Gerais Fed. Univ., Belo Horizonte, Brazil
Volume
34
Issue
5
fYear
1989
fDate
5/1/1989 12:00:00 AM
Firstpage
539
Lastpage
541
Abstract
A sufficient condition is presented for the stability of the matrix polynomials based on algebraic properties of the matrix coefficients. The stability condition is derived from the Lyapunov theory by a multivariable feedback system that is associated to the matrix polynomial. Illustrative examples are given. A block-Schwarz form related to the matrix polynomial is obtained directly from the given realization algorithm
Keywords
Lyapunov methods; feedback; matrix algebra; multivariable control systems; polynomials; stability criteria; Lyapunov theory; block-Schwarz form; matrix polynomials; multivariable feedback system; stability; sufficient condition; Asymptotic stability; Equations; Feedback; MIMO; Matrices; Polynomials; Stability analysis; Sufficient conditions; Testing; Transfer functions;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.24207
Filename
24207
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