System invertibility and the strongly reachable subspace

Abstract

In this chapter we will extend the class of inputs to include distributions. To do this, we need to give suitable meaning to the notion of initial state in case the input is a distribution. We will do this using the distributional set-up discussed in the Appendix on distributions. We will derive the exact formulas for the state trajectory and output corresponding to a given initial state and impulsive-smooth distributional input.