Abstract: This paper focuses on the problem of output feedback passive control for a class of linear time-delay systems. By using Lyapunov stability theory and linear matrix inequality (LMI) approach, sufficient conditions are given for the existence of static or dynamic output feedback controllers which render the closed-loop system to be quadratically stable and strictly passive. The design of the two control laws is transformed into finding a feasible solution of LMIs.

Key words: passive control, output feedback, time-delay systems, linear matrix inequalities