Datta, B.N. and Sarkissian, D.R. (2002) Partial Eigenvalue Assignment in Linear Systems: Existence, Uniqueness and Numerical Solution.
http://www3.nd.edu/~mtns/papers/70_3.pdf
http://www.math.niu.edu/~dattab/psfiles/paper.mtns.2002.pdf

has been cited by the following article:

• TITLE: Explicit Determination of State Feedback Matrices

  AUTHORS: Omar Moh’d El-Basheer El-Ghezawi

  KEYWORDS: State Feedback, Eigenstructure Assignment, Pole Placement, Explicit Methods

  JOURNAL NAME: Advances in Pure Mathematics, Vol.5 No.7, June 2, 2015

  ABSTRACT: Methods which calculate state feedback matrices explicitly for uncontrollable systems are considered in this paper. They are based on the well-known method of the entire eigenstructure assignment. The use of a particular similarity transformation exposes certain intrinsic properties of the closed loop w-eigenvectors together with their companion z-vectors. The methods are extended further to deal with multi-input control systems. Existence of eigenvectors solution is established. A differentiation property of the z-vectors is proved for the repeated eigenvalues assignment case. Two examples are worked out in detail.