Pole-placement problem for discrete-time linear periodic systems
Vicente Hernández, Ana M. Urbano · International Journal of Control · 1989
The pole-placement problem for the monodromy matrix of a discrete-time linear periodic system is considered. Given a partition of the complex plane into a ‘good’ part ℂ and a ‘bad’ part ℂb, the result obtained by Wonham (1979) is extended to the periodic case. This extension is based on the decomposition of a completely controllable periodic system into two subsystems, such that the first subsystem is completely reachable and the eigenvalues of the monodromy matrix of the second one are equal to zero.