SEMI-CANCELLABLE FRACTIONS IN SYSTEM-THEORY

Authors
BOURLES H
Citation
H. Bourles, SEMI-CANCELLABLE FRACTIONS IN SYSTEM-THEORY, IEEE transactions on automatic control, 39(10), 1994, pp. 2148-2153
Citations number
17
Categorie Soggetti
Controlo Theory & Cybernetics","Robotics & Automatic Control","Engineering, Eletrical & Electronic
Journal title
IEEE transactions on automatic control → ACNP
ISSN journal
00189286
Volume
39
Issue
10
Year of publication
1994
Pages
2148 - 2153
Database
ISI
SICI code
0018-9286(1994)39:10<2148:SFIS>2.0.ZU;2-5
Abstract
In this paper, we propose to define the transfer function of a system in a new way, namely as a semi-cancellable fraction (SCF), i.e., a fra ction in which unstable pole-zero cancellations are not allowed. Withi n this nerv framework, it is possible to be rigorous and coherent in d ealing with the stabilizability of a system from an input-output viewp oint, as opposed to recent papers focusing on the stabilizability of i nfinite dimensional input-output systems.