A test for state/driving-variable representability of 2D behaviors

• Type: Article in International Conference Proceedings Book
• Date: 2006

Authors

Isabel Brás (Author) Other; Paula Rocha (Author) FEUP

Conference proceedings International

Title: Constructive Algebra and Systems Theory

Pages: 185-192

Colloquium Constructive Algebra and Systems Theory

Amsterdam, Netherlands, November, 2000

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Abstract (EN): We consider discrete 2D behaviors with kernel representation and investigate the question of representability by means of a 2D state/driving-variable (SDV) model. It turns out that a 2D behavior B is SDV-representable if and only if it has a full row rank kernel representation and, additionally, the gcd’s of the maximal order minors of any full row rank kernel representation of B are unimodularly equivalent to a 2D Laurent-polynomial with 2D-proper inverse.

Language: English

Type (Professor's evaluation): Scientific