H/sub /spl infin// control for discrete-time linear systems with time-varying delays in state

Deals with the H/sub /spl infin// control problems for discrete-time linear systems with time-varying delays in state. The existence condition and the design method of the H/sub /spl infin// state feedback controller are given. The H/sub /spl infin// control law is assumed to be a memoryless state feedback, and the upper-bound of time-varying delay is used. Through some changes of variables and Schur complement, the obtained condition can be rewritten in linear matrix inequality form in terms of all variables.