Stabilizability of production-inventory systems incorporating unfilled-order backlogs with retarded control policies

Abstract

In this paper it is shown that the method of D-partition, in conjunction with a decoupling state transformation technique, can be used to investigate the stabilizability by linear state feedback of a class of production-inventory systems incorporating unfilled-order backlogs in which the control policies are retarded by finite time-delays. The theory is illustrated by the presentation of typical transient and steady-state response characteristics of controlled production-inventory systems of this class.