Stabilization Of Stochastic Interval Linear System With Markovian Switching

The problem of stabilizing an interval linear stochastic system with Markovian switching is studied in this article. The controlled system will be robustly exponentially stable in mean –square.There are two parts in this paper. Firstly, a continuous feedback controller is designed. And then the condition for a discrete-time feedback controller is derived from the difference of continuous and discrete-time feedback controlled system. Based on such condition, the feedback controller based on discrete-time observations can be designed. Secondly, it makes full use of their special features. We will be able to establish a better bound on ?.it enables us to observe the system state less frequently but still to be able to design the feedback control based on the discrete-time state observations to stabilize the given system in the sense of mean –square exponential stability.The same numerical example is given to vertify our techniques at the end of the third and the fourth chapter. By comparing them we establish a better bound on ?.