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
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.