Channel capacity constraints of scalar Markov jump systems stabilization

Based on network feedback control, using the information theory to study the channel capacity of scalar Markov Jump Linear System(MJLS) Stabilization is the foundation of designing this kind of network control system. However, in the actual control problems, unknown quantities are often uncertain variables without statistical structure. So it is incomplete to research the control problems based on classical information theory. For this reason, the framework of a nonstochastic information theory is quoted in this paper to consider the information transmission problems of uncertainty variables, thus obtaining the channel capacity constraints of scalar MJLS stabilization.