Stabilization of the Markovian jump system with a mode-separation controller

This paper studies the stabilization of continuous-time linear Markovian jump systems based on mode-separation controllers. Unlike traditional mode-dependent controllers, the mode-separation controller in this paper is selected based on event triggering, which is more in line with the actual issue and does not require knowledge of the real-time modes of the system. In addition, a sufficient condition for the stability of the system is obtained through the LMIs. Finally, the effectiveness and superiority of the method in this paper is verified by a simulation example.