D. Brethe et Jj. Loiseau, AN EFFECTIVE ALGORITHM FOR FINITE SPECTRUM ASSIGNMENT OF SINGLE-INPUTSYSTEMS WITH DELAYS, Mathematics and computers in simulation, 45(3-4), 1998, pp. 339-348
In this paper, we consider the problem of assigning, by state feedback
, a finite spectrum to a single-input system with commensurate point d
elays. It is well-known that spectral controllability is a necessary c
ondition. We show that it is also sufficient. We give a constructive p
rocedure for the synthesis of a feedback law, involving distributed de
lays, which yields a closed-loop system having a finite number of pole
s. (C) 1998 IMACS/Elsevier Science B.V.