Sufficient conditions for impulse uncontrollability and impulse unobservability of singular systems

Simple sufficient conditions for impulse uncontrollability and impulse unobservability of completely singular systems are established. It is well know that a singular linear system can be decomposed into a regular subsystem and a completely singular subsystem. From previously published results, it follows that a singular system is impulse uncontrollable (unobservable) if its singular subsystem is impulse uncontrollable (unobservable). It is shown that in a particular case the results can be also applied to the controllability and observability of regular linear systems