Robust guaranteed cost control for uncertain linear time-delay systems

This paper is concerned with robust guaranteed cost control for uncertain linear time-delay systems with quadratically constrained uncertainty using a linear matrix inequality (LMI) approach. The quadratically constrained uncertainty described in this paper is general in nature and takes some well-known uncertainty descriptions as special cases. Two specific problems are considered in this paper, namely the robust guaranteed cost control problem using memoryless static state feedback and the one using memoryless static output feedback. We show that feasibility of some LMIs guarantees the solvability of the corresponding robust guaranteed cost control problem