Title :
An alternative characterization for state/driving-variable representability of 2D behaviors
Author :
Bras, Isabel ; Rocha, Paula
Author_Institution :
Dept. of Math., Univ. of Aveiro, Aveiro, Portugal
Abstract :
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 unimodulary equivalent to a 2D Laurent-polynomial with 2D-proper inverse.
Keywords :
discrete systems; inverse problems; polynomials; 2D Laurent-polynomial; 2D state/driving-variable model; 2D-proper inverse; SDV model; SDV-representable; discrete 2D behaviors; full row rank kernel representation; maximal order minors; state/driving-variable representability; Decision support systems; Europe; Table lookup; 2D Laurent-polyomial; 2D first-order representation; 2D-properness; Kernel behavior; state/driving-variable model;
Conference_Titel :
Control Conference (ECC), 2001 European
Conference_Location :
Porto
Print_ISBN :
978-3-9524173-6-2
