Asynchronous pole assignment for linear systems with blocks of incomplete rank (Q304632)

The author consider a linear periodic control system with constant matrix multiplying the control in the critical case under the assumption that the mean of the coefficient matrix is block triangular and some blocks of its nonstationary part have incomplete column rank. A linear state feedback control periodic with the same period is considered. Necessary and sufficient conditions for the solvability of the asynchronous pole assignment problem are obtained.