Controllable and uncontrollable poles and zeros of nD systems

Authors
Zaris, P Wood, J Rogers, E
Citation
P. Zaris et al., Controllable and uncontrollable poles and zeros of nD systems, MATH CONTR, 14(3), 2001, pp. 281-298
Citations number
22
Categorie Soggetti
Engineering Mathematics
Journal title
MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS
ISSN journal
09324194 → ACNP
Volume
14
Issue
3
Year of publication
2001
Pages
281 - 298
Database
ISI
SICI code
0932-4194(2001)14:3<281:CAUPAZ>2.0.ZU;2-E
Abstract
We use the behavioural approach to define and characterize controllable and uncontrollable poles and zeros of multidimensional (nD) linear systems. We show a strong relationship between controllable poles and zeros and proper ties of the transfer function matrix, and we give characterizations of unco ntrollable poles and zeros, in particular demonstrating that these have an input decoupling property.