In this paper, we study the problem of robust stabilizability of the class
of uncertain linear systems with Markovian jumping parameters. Under the as
sumption of complete access to the continuous state, the stochastic stabili
zability of the nominal system and the boundedness of the system's uncertai
nties, sufficient conditions which guarantee the robust stability of the un
certain systems are presented, which are in terms of a set of coupled algeb
raic Riccati equations. A numerical example is given to illustrate the pote
ntial of the proposed technique.