A note on the direct sum decomposition of two-dimensional behaviors

Authors
Bisiacco, M Valcher, ME
Citation
M. Bisiacco et Me. Valcher, A note on the direct sum decomposition of two-dimensional behaviors, IEEE CIRC-I, 48(4), 2001, pp. 490-494
Citations number
14
Categorie Soggetti
Eletrical & Eletronics Engineeing
Journal title
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS
ISSN journal
10577122 → ACNP
Volume
48
Issue
4
Year of publication
2001
Pages
490 - 494
Database
ISI
SICI code
1057-7122(200104)48:4<490:ANOTDS>2.0.ZU;2-J
Abstract
In this paper, the possibility of obtaining certain direct sum decompositio ns, for a given complete two-dimensional behavior, are investigated and pro ved to be equivalent to the zero skew-primeness property of suitable matrix pairs, Some known decomposition theorems for two-dimensional complete beha viors are later obtained as simple corollaries of this general result.