Publisher Summary This chapter reviews the results and methods in linear algebra over
commutative rings. This theory is formed by systems of linear equations and linear …

We prove that the feedback classes of locally Brunovsky linear systems are given by the
decomposition of state space into direct summands. Hence the problem of enumerating …

A new characterization of commutative von Neumann regular rings is given in terms of linear
control systems having, locally, a Brunovsky Canonical Form. The problem of enumerating …

An open question in Control Theory over commutative rings is: When does dynamic
feedback equivalence imply (static) feedback equivalence? A second open problem is …

Several natural phenomena are mathematically modeled through linear systems of
differential equations. We study the feedback classification of linear systems over …

In this paper we describe a procedure to visit all feedback classes of locally Brunovsky linear
system over fixed R= C (S1) the ring of real continuos functions defined on the unit circle …

Let R be a principal ideal domain. In this paper we prove that, for a large class of linear
systems, dynamic feedback over R is equivalent to static feedback over a quotient ring of R …

A QUICK LOOK AT ROW ECHELON FORM OF MULTI-INPUT CONTROL SYSTEMS Page 1
PHYSCON 2013, San Luis Potosı, México, 26–29th August, 2013 A QUICK LOOK AT ROW …

ENUMERATION OF FEEDBACK EQUIVALENCE CLASSES OF LINEAR SYSTEMS OVER A
COMMUTATIVE RING VS. PARTITIONS OF ELEMENTS OF A MONOID 1. Page 1 April 27 …

A study of control systems from the geometry of ring of scalars Page 1 A study of control systems
from the geometry of ring of scalars Miguel V. CARRIEGOS. Departamento de Matemáticas …