Some results on the genericity of the pole placement problem

In this note, the pole placement problem for a linear MIMO systems with p o utputs and in inputs is studied from the algebraic point of view. A formula tion is proposed, that allows to analyze both theoretical and numerical asp ects of the case min(m, p)= 2 with more sharpness. Moreover, here it is sho wn that arbitrary pole placement by static output feedback of unitary rank is generically not possible even if m + p > n holds true. (C) 2001 Elsevier Science B.V. All rights reserved.