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.
Published in:
American Control Conference, 2005. Proceedings of the 2005
Date of Conference: 8-10 June 2005