DocumentCode
1439633
Title
Robust Schur stability of a polytope of polynomials
Author
Ackermann, J.E. ; Barmish, B.R.
Author_Institution
Inst. fuer Dynamik der Flugsysteme, Wessling, West Germany
Volume
33
Issue
10
fYear
1988
fDate
10/1/1988 12:00:00 AM
Firstpage
984
Lastpage
986
Abstract
The main objective of the authors is to provide a necessary and sufficient condition for a polytope of polynomials to have all its zeros inside the unit circle. The criterion obtained serves as a discrete-time counterpart for results in S. Bialas (1985) and F. Fu and B.R. Barmish (1987) for the continuous case. Also, the results are reduced to operations on (n -1)×(n -1) matrices. It is concluded that, by the edge result of A.C. Bartlett et al. (1987), it suffices to check the exposed edges in order to determine whether a polytope of polynomials has all its zeros in a simply connected region D
Keywords
polynomials; stability; polynomials; polytope; robust Schur stability; sufficient condition; unit circle; zeros; Eigenvalues and eigenfunctions; Foot; Polynomials; Robust stability; Stability criteria; Sufficient conditions; Testing; Upper bound;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.7261
Filename
7261
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