Robust stochastic stabilization of discrete-time linear systems with Markovian jumping parameters

Citation
Ek. Boukas et al., Robust stochastic stabilization of discrete-time linear systems with Markovian jumping parameters, J DYN SYST, 121(2), 1999, pp. 331-334
Citations number
17
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME
ISSN journal
00220434 → ACNP
Volume
121
Issue
2
Year of publication
1999
Pages
331 - 334
Database
ISI
SICI code
0022-0434(199906)121:2<331:RSSODL>2.0.ZU;2-1
Abstract
In this paper, we study the problem of robust stabilization of discrete-tim e linear systems with Markovian jumping parameters (DTLSMJP) with norm boun ded uncertainties. A sufficient condition guaranteeing the robust stability of the uncertain discrete-time linear systems with Markovian jumping param eters (UDTLSMJP) is presented, which is in terms of a set of coupled discre te-time algebraic Riccati inequalities (IEqs). Finally, a numerical example is given to show the potential of the proposed technique.