Control-delayed system properties via an ordinary model

Abstract

The relationship between a control-delayed system and its non-delayed model is used to establish the properties of the former. An absolutely controllable delayed system is stabilizable, pole-assignable and dual to a system observable by delayed observations. Feedback implementation can be achieved using finite dimensional methods. The partial differential Riccati equations associated with the infinite time quadratic optimization problem are reduced to finite dimensional algebraic equations. Extensions to the multiple delay case are considered.