Linear Systems with Delayed Controls: A Reduction

Abstract

Linear systems with delayed control action are transformed into systems without delays. Under an absolute continuity condition, the new system is an ordinary differential control equation. In the general case, the new system is a measure-differential control system. It is shown how the controllability, stabilization, and various optimization problems can be analyzed via the reduced systems. Copyright © 1982 by The Institute of Electrical and Electronics Engineers, Inc.