Robust guaranteed cost control of uncertain linear time-delay systems using dynamic output feedback

This paper is concerned with robust guaranteed cost control of uncertain linear time-delay systems using dynamic output feedback. The uncertain systems tackled in this paper involve uncertainty in quadratic constrained form which includes the well-known norm-bounded time-varying uncertainty as a special case. We show that the feasibility of several matrix inequalities guarantees the solvability of the addressed problem. Furthermore, we propose an iterative algorithm to numerically check the feasibility of the concerned matrix inequalities using linear matrix inequalities (LMIs).