Original manuscript: 2003/02/28
Manuscript last revised: 2004/02/29

Modelling and controllability studies of a hovercraft system are undertaken. The system studied is a little more complicated than some in the literature in that the inertial dynamics of the thrust fan are taken into account. The system is shown to be representative of a large class of systems that are controllable only a set described by the zeros of a nontrivial analytic function. Recent results for controllability using vector-valued quadratic forms are useful in arriving at the stated conclusions. As part of the development, two new controllability results of independent interest are proved.

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