Laboratory for Control, Learning, and Systems Biology

pole-shifting

1986
  1. M. L. J. Hautus, E.D. Sontag, "New results on pole-shifting for parametrized families of systems", J. Pure Appl. Algebra, vol. 40, no. 3, pp. 229–244, 1986. pdf
    Abstract

    New results are given on the pole-shifting problem for commutative rings, and these are then applied to conclude that rings of continuous, smooth, or real-analytic functions on a manifold X are PA rings if and only if X is one-dimensional.