On passivity and passification of Markovian jump systems

The problem of delay-dependent robust passivity analysis and robust passification for uncertain Markovian jump linear systems (MJLs) with time-varying delay is discussed. The parameter uncertainties are time-varying but norm-bounded. Attention is focused on the design of passification controllers, which guarantee that the closed-loop MJLs is passive. By constructing a proper stochastic Lyapunov-Krasovskii functional and employing the free-weighting matrix technique, delay-dependent passivity and passification performance conditions are formulated. A numerical example is given to illustrate the usefulness of the proposed approaches.