  We construct a class of charged, rotating solutions of (n+1)-dimensional
Einstein-Maxwell-dilaton gravity with Liouville-type potentials and investigate
their properties. These solutions are neither asymptotically flat nor (anti)-de
Sitter. We find that these solutions can represent black brane, with two inner
and outer event horizons, an extreme black brane or a naked singularity
provided the parameters of the solutions are chosen suitably. We also compute
temperature, entropy, charge, electric potential, mass and angular momentum of
the black brane solutions, and find that these quantities satisfy the first law
of thermodynamics. We find a Smarr-type formula and perform a stability
analysis by computing the heat capacity in the canonical ensemble. We find that
the system is thermally stable for alpha <1, while for alpha >1 the system has
an unstable phase. This is incommensurate with the fact that there is no
Hawking-Page phase transition for black objects with zero curvature horizon.
