1993 Volume 29 Issue 4 Pages 395-400
This paper investigates some properties of an optimal regulator of a distributed parameter system which is described by a linear symmetric hyperbolic partial differential equation. Although the linear quadratic cost problem of such system has been solved, the properties of the optimal regulator have not been discussed. We show that a circle condition holds for the optimal regulator and also discuss pole location of the optimal regulator, that is, the optimal closed-loop poles are determined as roots of the determinant of a Hamilton type matrix.
