  The Weyl semimetal exhibits various interesting physical phenomena because of
the Weyl points, i.e., linear band-crossings. We show by Floquet theory that a
linearly polarized light applied to a band insulator can induce controllable
Weyl points. In a tight-binding model, we classify different types of
photoinduced Weyl points that lead to a rich phase diagram characterized by the
Chern number defined on each momentum slices of the bulk states. Taking account
of the nonequilibrium electron distribution, we calculate and explain the
nonmonotonous anomalous Hall conductivity in terms of the light frequency
controlled shift of Weyl points' position, which also allows us to examine the
conductivity's dependence on the driving electric field.
