On the characterization of properly relaxed delayed controls

[摘要] In previous papers Warga and Zhu have proven the conjecture of Rosenblueth and Vinter that a particular abstract model characterizes the set (R) over bar 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) over bar 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) over bar 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. (C) 1997 Academic Press.

[发布日期] 1997-05-01