H∞ control of discrete-time linear systems with time-varying delavs in state

This paper deals with the H∞ control problems for discrete-time linear systems with time-varying delays in state. In this paper, the H∞ control law is assumed to be a memoryless state feedback and the size of time-varying delays considered is upper-bounded. The solution of the H∞ control problem for discrete-time linear systems with time-varying delays in state can be obtained by solving an H∞ control problem for auxiliary discrete-time linear systems with no time delays.