Comments, on "A generalization of Rosenbrock's theorem" by M. Schlegel

In the above paper (ibid., vol.AC-32, p.155, Feb. 1987) the author presents a generalization of the famous Rosenbrock theorem concerning the problem of synthesis of linear state feedback control laws for linear controllable systems. The commenters point out that this result was published by them earlier (in an alternative form). Here they give again alternative conditions for solvability of the problem, since the original papers (published in 1979 and 1985) were in Russian. In contrast to the conditions given in the above paper, their conditions are not redundant and are given in terms of order relation on the lattice of integer partitions.< >