  We study primitive stable representations of free groups into higher rank
semisimple Lie groups and their properties. Let $\Sigma$ be a compact,
connected, orientable surface (possibly with boundary) of negative Euler
characteristic. We first verify the $\sigma_{mod}$-regularity for convex
projective structures and positive representations. Then we show that the
holonomies of convex projective structures and positive representations on
$\Sigma$ are all primitive stable if $\Sigma$ has one boundary component.
