A Bounded Real Lemma for continuous-time linear systems with partial information on the Markovian jumping parameters

2015 ◽  
Author(s):  
C. C. Graciani Rodrigues ◽  
Marcos G. Todorov ◽  
Marcelo D. Fragoso
Keyword(s):  
Linear Systems ◽  
Continuous Time ◽  
Partial Information ◽  
Markovian Jumping Parameters ◽  
Markovian Jumping ◽  
Bounded Real Lemma ◽  
Time Linear

Robust Stochastic Stabilization of Discrete-Time Linear Systems With Markovian Jumping Parameters

1999 ◽  
Vol 121 (2) ◽  
pp. 331-334 ◽  
Author(s):  
El Kebi´r Boukas ◽  
Peng Shi ◽  
Khalid Benjelloun
Keyword(s):  
Linear Systems ◽  
Discrete Time ◽  
Robust Stabilization ◽  
Markovian Jumping Parameters ◽  
Markovian Jumping ◽  
Stochastic Stabilization ◽  
Riccati Inequalities ◽  
Bounded Uncertainties ◽  
Time Linear ◽  
Norm Bounded Uncertainties

In this paper, we study the problem of robust stabilization of discrete-time linear systems with Markovian jumping parameters (DTLSMJP) with norm bounded uncertainties. A sufficient condition guaranteeing te robust stability of the uncertain discrete-time linear systems with Markovian jumping parameters (UDTLSMJP) is presented, which is in terms of a set of coupled discrete-time algebraic Riccati inequalities (IEqs). Finally, a numerical example is given to show the potential of the proposed technique.

Sign in / Sign up

Export Citation Format

Share Document