On impulsive controllability of linear periodic descriptor systems

This paper presents the direct characterization and explicit criterion of impulsive controllability for a class of linear periodic descriptor systems. The operator expression of linear periodic descriptor systems is first given by differential operator. Then, it describes the direct characterization of impulsive controllability in terms of the original systems coefficients and computable matrices. Especially, a sufficient and necessary condition of impulsive controllability is established based on the rank of monodromy matrices and Gramian matrices, which are from operator expression of linear periodic descriptor systems.