Abstract
The necessary and sufficient condition for decoupling of multivariable linear time-varying systems with time delays in the control variables is presented for the limited case in which the control system has no state feedback scheme. Some algebraic properties associated with the time delay operator are rigorously investigated to ensure the mathematical procedure leading to the theorems for decoupling condition. A numerical example is shown to demonstrate the fact that the theorems formulated in this paper can cover more extensive decoupling problems than the theory given by Iwai et al. which presents a sufficient condition for decoupling of multivariable linear time-varying systems with state feedback.
