Zero Assignment in Multivariable System Using Pole Assignment Method
  In the paper we consider the invariant zero assignment problem in a linear multivariable system with several inputs/outputs by constructing a system output matrix. The problem is reduced to the pole assignment problem by a state feedback (modal control) in a descriptor system or a regular one. It is shown that the zero assignment and pole assignment are mathematically equivalent problems. 
Ye. Smagina