DocumentCode
3225230
Title
Stability region approximations by polytopes
Author
Nurges, Ü
Author_Institution
Inst. of Cybern., Acad. of Sci., Tallinn, Estonia
Volume
4
fYear
1996
fDate
11-13 Dec 1996
Firstpage
4325
Abstract
Some outside and inside approximations of the Schur stability region in polynomial coefficients space are given. A Schur invariant transform is introduced which preserves all the reflection coefficients of a polynomial inside the unit hypercube. Some simple necessary stability conditions in terms of unions of polytopes are obtained by splitting the unit hypercube of reflection coefficients. A rule for generating sufficient stability conditions in terms of simplex is obtained using linear Schur invariant transforms
Keywords
approximation theory; control system synthesis; discrete time systems; invariance; polynomials; robust control; transforms; Schur invariant transform; Schur stability region; discrete time systems; hypercube; necessary condition; polynomial coefficients space; polytopes; reflection coefficients; robust control; simplex; stability region approximations; Control systems; Cybernetics; Ear; Hypercubes; Polynomials; Reflection; Robust control; Robust stability; Shape; Testing;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location
Kobe
ISSN
0191-2216
Print_ISBN
0-7803-3590-2
Type
conf
DOI
10.1109/CDC.1996.577471
Filename
577471
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