Input–output finite-time stabilization of Markovian jump systems with convex polytopic switching probabilities

In this paper, the problem of input–output finite-time stabilization of Markovian jump systems with convex polytopic switching probabilities is addressed. First, a new criterion for testing the input–output finite-time stabilization of such systems is established. Then, in terms of linear matrix inequalities, a sufficient condition is proposed for the design of robust state-feedback controllers. A numerical example is presented to illustrate the effectiveness and potential of the developed theoretical results.