On stabilization of uncertain linear systems with jump parameters

Citation
Ek. Boukas et al., On stabilization of uncertain linear systems with jump parameters, INT J CONTR, 72(9), 1999, pp. 842-850
Citations number
27
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
INTERNATIONAL JOURNAL OF CONTROL
ISSN journal
00207179 → ACNP
Volume
72
Issue
9
Year of publication
1999
Pages
842 - 850
Database
ISI
SICI code
0020-7179(19990615)72:9<842:OSOULS>2.0.ZU;2-D
Abstract
In this paper, we study the problem of robust stabilizability of the class of uncertain linear systems with Markovian jumping parameters. Under the as sumption of complete access to the continuous state, the stochastic stabili zability of the nominal system and the boundedness of the system's uncertai nties, sufficient conditions which guarantee the robust stability of the un certain systems are presented, which are in terms of a set of coupled algeb raic Riccati equations. A numerical example is given to illustrate the pote ntial of the proposed technique.