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An effective algorithm for finite spectrum assignment of single-input systems with delays. (English) Zbl 1017.93506
Summary: We consider the problem of assigning, by state feedback, a finite spectrum to a single-input system with commensurate point delays. It is well-known that spectral controllability is a necessary condition. We show that it is also sufficient. We give a constructive procedure for the synthesis of a feedback law, involving distributed delays, which yields a closed-loop system having a finite number of poles.

MSC:
93B55 Pole and zero placement problems
93C25 Control/observation systems in abstract spaces
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