抄録
A method to construct a memoryless feedback law for systems with time-delay in states is proposed. A stabilizability condition by memoryless feedback is presented. A feedback law is constructed with a solution of a matrix equation. It is shown that the resulting closed loop system is asymptotically stable, and moreover, it is a linear quadratic regulator for some cost functional. The relationship between the stabilizability conditions presented in this paper and another is discussed. A numerical simulation is performed to evaluate the effectiveness of the control.
