Title :
New stability conditions for discrete polynomials
Author :
Nurges, Ü ; Rüstern, E.
Author_Institution :
Inst. of Cybern., Tallinn Univ. of Technol., Estonia
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;
Conference_Titel :
American Control Conference, 2005. Proceedings of the 2005
Print_ISBN :
0-7803-9098-9
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2005.1470628
