On The Characterization Of Properly Relaxed Delayed Controls

Document Type

Article

Publication Date

5-1997

Abstract

In previous papers Warga and Zhu have proven the conjecture of Rosenblueth and Vinter that a particular abstract model characterizes the set R of relaxed controls that are limits of ordinary controls with (possibly time-dependent) delays. Rosenblueth and Vinter have also provided a simple and concrete characterization of R for the case of constant delays that are consecutive multiples of a common divisor h. In the present paper we provide a concrete characterization of R for the case of delays that are arbitrary (and not necessarily consecutive) multiples of some h. We also exhibit a simple compactification of the set of solutions of controlled differential equations with such delays in control.

Link to Full Text

Share

COinS