In this note, the theory of locally asymptotically normal experiments
is used to test hypotheses about the parameters of a controlled, linea
r stochastic system. The tests are formulated for both continuous and
sampled observations of the input and the output. For the sampled obse
rvations, a constant bias property for a quadratic variation estimate
of the local variance parameters of the noise is verified. A numerical
example is given using the methods.