Functional output-controllability of time-invariant singular linear systems

Abstract

In the space of finite-dimensional singular linear continuous-timeinvariant systems described in the form (Formula presented) where E, A ∈ M = Mn(ℂ), B ∈ Mn×m(ℂ), C ∈ Mp×n(ℂ), functional outputcontrollability character is considered. A simple test based in the computation of the rank of a certain constant matrix that can be associated to the system is presented.