Groupe d’études et de recherche en analyse des décisions

# $${\cal H}^\infty$$ Control for Linear Time-Delay Systems with Markovian Jumping Parameters

## K Benjelloun, El-Kébir Boukas et Oswaldo L.V. Costa

This paper deals with the robust $${\cal H}^\infty$$ control problem for uncertain continuous-time linear time-delay system with Markovian jumping parameters (ULTDSMJP). Based on the Lyapunov functional, a sufficient condition that assures the robust stochastic stabilizability and preserves the $${\cal H}^\infty$$ disturbance attenuation for the uncertain class of linear time-delay systems with Markovian jumping parameters (ULTDSMJP) is established. The uncertainties we consider in this paper are of norm bounded type. A numerical example is given to demonstrate the usefulness of our results.

, 24 pages