Stabilizability subspaces for linear impulsive systems

In this paper, stabilizability subspaces for linear impulsive systems are defined by the property that not only can trajectories be maintained within the subspace by suitable control signals, they can also be made to asymptotically converge to the equilibrium at the origin. Previous work on state feedback stabilization and the study of controlled invariant subspaces for linear impulsive systems is combined to yield a state feedback characterization of stabilizability subspaces.