Further results in Kronecker matrix product application in control synthesis problem

The assignments of all closed-loop system poles by means of constant output feedback, has been considered. Through the use of Kronecker product, closed-loop matrix equation is expressed as set of linear sets of equations explicit in the elements of control matrix. Obtained set of equations is partitioned into two subsets, the first of which yields a necessary and sufficient conditions for existence of a solution. Second subset directly gives the desired modal control matrix.