Approach to simultaneous stabilization of linear dynamic plants with delay

For a finite family of continuous linear scalar stationary plants with a common constant delay in the control, we study the existence of a discrete controller simultaneously stabilizing the family with respect to the output and suggest an algorithm for constructing such a controller. The approach to the stabilization includes the construction of a continuousdiscrete (hybrid) closed system for each plant, passage to a discrete model of the system, and the subsequent finding of a common stabilizing discrete controller.