Stabilizability and compensator design for discrete-time delay systems in Hilbert spaces

Authors
Lahmidi, F Namir, A Rachik, M Karrakchou, J
Citation
F. Lahmidi et al., Stabilizability and compensator design for discrete-time delay systems in Hilbert spaces, INT J SYST, 30(3), 1999, pp. 331-342
Citations number
8
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
ISSN journal
00207721 → ACNP
Volume
30
Issue
3
Year of publication
1999
Pages
331 - 342
Database
ISI
SICI code
0020-7721(199903)30:3<331:SACDFD>2.0.ZU;2-Q
Abstract
This paper presents a contribution to the study of the stability, stabiliza bility, observers and compensators for discrete-time distributed systems wi th delays in the state, the control and the output. Necessary and sufficien t conditions for the stability are established. Stabilizability via feedbac k control is considered. The observers and compensators for these systems a re also considered. Sufficient conditions for their existence and methods f or their construction are presented. To illustrate this work, some examples are given.