DocumentCode
1163032
Title
New stability conditions via reflection coefficients of polynomials
Author
Nurges, Ülo
Author_Institution
Inst. of Cybern., Tallinn Univ. of Technol., Estonia
Volume
50
Issue
9
fYear
2005
Firstpage
1354
Lastpage
1360
Abstract
The geometry of stable discrete polynomials using their coefficients and reflection coefficients is investigated. Starting from so-called barycentric simplex some necessary stability conditions in terms of unions of polytopes are obtained by splitting the unit hypercube of reflection coefficients. Sufficient stability conditions in terms of linear covers of reflection vectors of a family of stable polynomials improve the Cohn stability criterion.
Keywords
discrete time systems; polynomials; stability; Cohn stability; barycentric simplex; discrete-time systems; reflection coefficients; stability condition; stable discrete polynomials; Automatic control; Control systems; Nonlinear control systems; Nonlinear systems; Polynomials; Reflection; Robot control; Robotics and automation; Stability; Sun; Discrete-time systems; polynomials; stability;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2005.854614
Filename
1506942
Link To Document