This short paper treats one aspect of the identification of state-derivative-coupled systems, such as

where

, and

is invertible. This equation can also be written as

. We assume that reduced form parameters (

) are identifiable and develop a sequence of tests for establishing the identifiability of structural parameters (

) from (

). The tests are constructive, in that they not only can be used to ascertain the identifiability of (

); but, if (

) are not identifiable, can also indicate corrective actions to be taken so that (

) are identifiable.