Row-by-row decoupling with stability for linear periodic discrete-time systems

The classical row-by-row decoupling problem with stability by the use of a dynamic compensator is studied for linear periodic discrete-time systems. The necessary and sufficient conditions for the existence of a solution are found, and a design procedure of the dynamic compensator (including a feedback subcompensator and a pre-subcompensator) is provided by the sufficiency proof, also for the case of a dead-beat requirement for the state free response.