BOUNDED REAL LEMMA FOR LINEAR-SYSTEMS WITH FINITE DISCRETE JUMPS

Authors
SHI P DESOUZA CE XIE LH
Citation
P. Shi et al., BOUNDED REAL LEMMA FOR LINEAR-SYSTEMS WITH FINITE DISCRETE JUMPS, International Journal of Control, 66(1), 1997, pp. 145-159
Citations number
23
Categorie Soggetti
Controlo Theory & Cybernetics","Robotics & Automatic Control
Journal title
International Journal of Control → ACNP
ISSN journal
00207179
Volume
66
Issue
1
Year of publication
1997
Pages
145 - 159
Database
ISI
SICI code
0020-7179(1997)66:1<145:BRLFLW>2.0.ZU;2-5
Abstract
The problem of strict bounded realness for linear systems with finite discrete jumps is investigated in this paper. Several versions of the strict bounded real lemma for such systems in both the finite and infi nite horizon cases are obtained in terms of either a Riccati different ial equation or Riccati differential inequality with finite discrete j umps. These results encompass both existing continuous-time and discre te-time strict bounded real lemmas.