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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.