  A two-person zero-sum infinite dimensional differential game of infinite
duration with discounted payoff involving hybrid controls is studied. The
minimizing player is allowed to take continuous, switching and impulse controls
whereas the maximizing player is allowed to take continuous and switching
controls. By taking strategies in the sense of Elliott--Kalton, we prove the
existence of value and characterize it as the unique viscosity solution of the
associated system of quasi-variational inequalities.
