HOMOGENEOUS BEHAVIORS

Authors
RAVI MS ROSENTHAL J SCHUMACHER JM
Citation
Ms. Ravi et al., HOMOGENEOUS BEHAVIORS, MCSS. Mathematics of control, signals and systems, 10(1), 1997, pp. 61-75
Citations number
18
Categorie Soggetti
Controlo Theory & Cybernetics","Engineering, Eletrical & Electronic",Mathematics,"Robotics & Automatic Control
Journal title
MCSS. Mathematics of control, signals and systems → ACNP
ISSN journal
09324194
Volume
10
Issue
1
Year of publication
1997
Pages
61 - 75
Database
ISI
SICI code
0932-4194(1997)10:1<61:HB>2.0.ZU;2-7
Abstract
Recently a smooth compactification of the space of linear systems with n states, m inputs, and p outputs has been discovered. In this paper we obtain a concrete interpretation of this compactification as a spac e of discrete-time behaviors. We use both homogeneous polynomial repre sentations and generalized first-order representations, and provide a realization theory to link these to each other.