Abstract
The purpose of this paper is to examine the controllability for a class of nonlinear control systems of the form $$\frac{{d\phi t}}{{dt}} = X_0 (\phi t) + \sum\limits_{j = 1}^r {u_j (t)X_j } (\phi _t )$$ Our general theorem is stated in terms of differential geometry, but it will be applied to concrete systems such that coefficientsX0,..,Xr are polynomials.
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