Abstract
The problems arising in Time Delay Systems (TDS) have increased complexity with respect to those related to Linear Delay Free Systems. Linear Matrix Inequalities (LMI) proved to be a useful instrument for solving several control problems (see [1]). The present paper is approaching the dynamic output feedback H_{\infty} control problem for a class of TDS, where both the state dynamics and the output depends on the delayed states. Two new procedures are proposed to solve the optimal and the sub-optimal H_{\infty} control problems.
