DocumentCode
3551183
Title
New stability conditions for discrete polynomials
Author
Nurges, Ü ; Rüstern, E.
Author_Institution
Inst. of Cybern., Tallinn Univ. of Technol., Estonia
fYear
2005
fDate
8-10 June 2005
Firstpage
4149
Abstract
The geometry of stable discrete polynomials using their coefficients and reflection coefficients is investigated. Some simple 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 stable polynomials are proposed.
Keywords
computational geometry; discrete time systems; polynomials; stability; discrete-time system; geometry; polytopes; reflection coefficient; reflection vectors; stability condition; stable discrete polynomial; unit hypercube; Cybernetics; Geometry; Hypercubes; Polynomials; Reflection; Stability criteria; Testing; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 2005. Proceedings of the 2005
ISSN
0743-1619
Print_ISBN
0-7803-9098-9
Electronic_ISBN
0743-1619
Type
conf
DOI
10.1109/ACC.2005.1470628
Filename
1470628
Link To Document