Stabilization of Linear Discrete Systems with Transmission Delay

In this paper, it is discussed that the problem of stabilization by state feedback for linear discrete systems with transmission delay. For the general case, an inherent limitation for the stabilization problem is obtained. In order to overcome the inherent limitation, two methods are proposed. One is using enough information of delayed states. The other is designing recursive state feedback controller. Obtained results show that if a system without transmission delay can be stabilized by state feedback, then with transmission delay the system still can be stabilized by a redesigned state feedback controller.