ON SOME STRUCTURES OF STABILIZING CONTROL LAWS FOR LINEAR AND TIME-INVARIANT SYSTEMS WITH BOUNDED POINT DELAYS AND UNMEASURABLE STATES

The output-feedback stabilization is considered by linear dynamic cont rollers of (open-loop) stabilizable and detectable time-invariant plan ts involving a finite set of bounded internal point delays. Two contro llers involving, respectively, point and distributed delays are studie d as well as their extension to the use of a feedback signal consistin g of convolutions of the system output and controller state with an ap propriately chosen linearly independent set of functions. It is conclu ded that an increase in the order of the controller dynamics can be us ed as an alternative stabilization technique to the use of delays in t he controller.