Title :
A note on the direct sum decomposition of two-dimensional behaviors
Author :
Bisiacco, Mauro ; Valcher, Maria Elena
Author_Institution :
Dipartimento di Elettronica e Inf., Padova Univ., Italy
fDate :
4/1/2001 12:00:00 AM
Abstract :
In this paper, the possibility of obtaining certain direct sum decompositions, for a given complete two-dimensional behavior, are investigated and proved to be equivalent to the zero skew-primeness property of suitable matrix pairs. Some known decomposition theorems for two-dimensional complete behaviors are later obtained as simple corollaries of this general result
Keywords :
matrix decomposition; modelling; multidimensional systems; system theory; 2D behaviour; 2D systems; direct sum decomposition; dynamic systems; matrix pairs; system modelling; two-dimensional behaviors; zero skew-primeness property; Circuit stability; Control design; Functional analysis; Matrix decomposition; Modal analysis; Modeling; Multidimensional systems; Polynomials; Stability analysis; Two dimensional displays;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
