Controllability of Verticum-Type Systems

Abstract

A special class of linear systems is examined, where the subsystems are connected with each other by output-input relations, and these connections generate a directed graph without circles. That is, these connections always move forward. The controllability problem of any system finds the set of all feasible states which can be reachable with the appropriate choice of the control. The theory of Lie-algebras and special matrix structures provide the theoretical basis for constructing this set.