  By introducing a temporal change timescale $\tau_{\text{A}}(t)$ for the
time-dependent system Hamiltonian, a general formulation of the Markovian
quantum master equation is given to go well beyond the adiabatic regime. In
appropriate situations, the framework is well justified even if
$\tau_{\text{A}}(t)$ is faster than the decay timescale of the bath correlation
function. An application to the dissipative Landau-Zener model demonstrates
this general result. The findings are applicable to a wide range of fields,
providing a basis for quantum control beyond the adiabatic regime.
