Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7151681 | Systems & Control Letters | 2016 | 6 Pages |
Abstract
A proper representation of a linear differential system is a representation with no singularity at infinity. It is shown that such a representation always exists. It turns out that for proper representations having minimal number of rows is equivalent to having minimal total row degree. One is led therefore to a natural definition of the notion of minimality. What is remarkable is that a minimal proper representation is uniquely determined up to premultiplication by a unimodular polynomial matrix of special form. This uniqueness result allows, in particular, to introduce important integer invariants.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Vakhtang Lomadze,