Geometric theory and feedback invariants of generalized linear systems: A matrix pencil approach (Q582247)

Generalized linear systems are studied, that are systems of the form \(E\dot x=Ax+Bu\), where E, A and B are matrices. This class of systems is seen as a special subspace of the general differential equations described by \(F\dot x=Gx\). The aim lies on developing the matrix pencil aspects of the theory of these systems. New types of feedback invariants are introduced, and a classification of these systems is given. This classification is algebraic and feedback related.