Robust H∞ control for uncertain state-delayed linear systems with Markovian jumping parameters

The problem of robust H_∞ state-feedback control design for a class of continuous-time linear systems with Markovian jumping parameters and multiple time-varying delays at the states, and subject to uncertain parameters is addressed in this paper. It is assumed that the jumping parameters are available and the uncertain parameter belong to given convex bounded domains (polytope type uncertainty). A delay-independent sufficient condition assuring robust mean square stability and a prescribed level of H_∞ disturbance attenuation for the closed-loop system is established in terms of linear matrix inequalities.