On the invariant analysis of generalized linear dynamical systems (Q1811512)

The study is focused on a description of linear dynamical systems and one considers problems involved in so-called invariant analysis of generalized linear systems, in which, instead of a single system, one studies geometric and algebraic properties of various manifolds of systems and their relationships with some problems in control theory. The author computes algebraic invariants of generalized control systems with respect to \(\eta\)-equivalence and the orbits are analyzed. It is pointed out that there is a close relationship between classification problems for generalized dynamical systems and the Kronecker and Weierstrass canonical forms of a singular matrix pencil.