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We demonstrate that some delay-differential equations of neutral type are, up to basis transformation, equivalent to retarded delay differential equations. In particular, for two classes of neutral delay differential equation models, we use state transformations to show that delayed derivatives can in some cases be expressed in terms of the model's state. Hence, we obtain conditions when neutral delay...
We develop a control methodology for linear time-invariant plants that uses multiple delayed observations in feedback. Using the special coordinate basis (SCB), we show that multiple-delay controllers can always be designed to stabilize minimum-phase plants, and identify a class of non-minimum-phase plants that can be stabilized using these controllers.
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