Abstract

This paper studies a stabilizability problem for linear time-varying periodic differential equations. Based on the Floquet theory and discretization method, we give new sufficient conditions for stabilizability in terms of controllability rank condition of linear time-invariant discretized system as well as of matrix inequalities. The feature of the results is that the stabilizability conditions are established without solving any differential Riccati equation. Simple procedure to construct stabilizing controller and illustrative examples are given.