Stability analysis of stochastic scalar Markovian jump systems with sample switching and state signals

This paper investigates the stability of scalar stochastic Markovian jump systems with sampled switching and state signals. The analysis of the system is complicated and difficult due to the fact that both states and modes are sampled. In order to clearly analyse these factors, a comparison method based on the solution of auxiliary functions is proposed to solve the problem of sampling both modes and states. Some novel amplification techniques are also proposed to finally establish the linear inequalities conditions. A numerical example is used to illustrate the effectiveness and superiority of these methods.