1981
- ▪R.T. Bumby, E.D. Sontag, H.J. Sussmann, W. Vasconcelos, "Remarks on the pole-shifting problem over rings", J. Pure Appl. Algebra, vol. 20, no. 2, pp. 113–127, 1981. pdf
Abstract
Problems that appear in trying to extend linear control results to systems over rings R have attracted considerable attention lately. This interest has been due mainly to applications-oriented motivations (in particular, dealing with delay-differential equations), and partly to a purely algebraic interest. Given a square n-matrix F and an n-row matrix G. pole-shifting problems consist in obtaining more or less arbitrary characteristic polynomials for F+GK, for suitable ("feedback") matrices K. A review of known facts is given, various partial results are proved, and the case n=2 is studied in some detail.