H-infinity-control for linear time-delay systems with Markovian jumping parameters

This paper deals with the robust H-infinity-control problem for uncertain c ontinuous-time linear time-delay systems with Markovian jumping parameters. Based on Lyapunov functional approach, a sufficient condition that assures the robust stochastic stabilizability and preserves the H-infinity-disturb ance attenuation for the uncertain class of linear time-delay systems with Markovian jumping parameters is established. The uncertainties considered i n this paper are of the norm-bounded type. A numerical example is given to demonstrate the usefulness of the results.