Abstract
This paper proposes stabilizing continuous-time linear periodic state feedback control laws for continuous-time linear periodic systems. The feedback control laws, under some assumption, enable to construct closed-loop systems which approximate intended linear time-invariant systems, as well as stabilize them. This approximation permits a clear forecast for shaping of initial response. The key to the proposed method is raising frequency of closed-loop periodic systems, which enables to utilize the theory of averaging for analyzing periodic systems.
