Almost Sure Stabilization Of Uncertain Discrete-time Markov Jump Linear Systems

This paper studies the almost sure stability of discrete-time linear systems with Markovian jumping parameters. systems with uncertainties in model matrices is considered. The uncertain parameters is norm-bounded. The switching is governed by a time-homogeneous Markov process. Attention is focused on developing a deterministically testable su?cient condition of robust almost sure stability and robust stabilization, which are dependent on the bound of 2-norm of the system transition Matrix. This paper make further e?orts to shown that if control systems is almost sure stabilization, in the case of structured perturbations acting on system matrices can also keep stabilization. In this paper, the proposed methods is to design the mode-dependent feedback control laws derived from a class of LMI to achieve stability.