Title :
New stability conditions via reflection coefficients of polynomials
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. 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;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2005.854614
