Riemann Hilbert Correspondence states for complex manifold $X$, the bounded derived category of $D$ modules on $X$ with cohomology being regular holonomic is equivalent to the bounded derived category of sheaves on $X$ with constructible cohomology.

My question is if we fix a particular stractification $\mathcal{S}$ for $X$ and require the cohomology sheaves is constructible with $\mathcal{S}$, what would be the corresponding subcategory on the $D$ modules side?