  In this paper we perform stability analysis for exponential solutions in
Einstein-Gauss-Bonnet and cubic Lovelock gravity. We report our findings,
provide areas on parameters space and discuss familiarities and differences
between cases. Analysis suggests that only several cases out of numerous found
solutions could be called stable. In particular, cases with three-dimensional
isotropic subspace which could give rise to successful compactification are
diminished to one general case and one additional partial solution in the cubic
Lovelock case.
