  Given a family of locally Lipschitz vector fields
$X(x)=(X_1(x),\dots,X_m(x))$ on $\mathbb{R}^n$, $m\leq n$, we study functionals
depending on $X$. We prove an integral representation for local functionals
with respect to $X$ and a result of $\Gamma$-compactness for a class of
integral functionals depending on $X$.
