  Layered smart composite beams involving a piezoelectric layer are
traditionally actuated by a voltage source by the extension mechanism. In this
paper, we consider only the bending and shear of a cantilevered piezoelectric
smart composite beam modeled by the Mead-Marcus sandwich beam assumptions.
Uniform exponential stabilitization with only one boundary state feedback
controller, simultaneously controlling both bending moment and shear, is proved
by using a spectral multiplier approach. The state feedback controller slightly
differs from the classical counterparts by a non-trivial compact and
nonnegative integral operator. This is due to the strong coupling of the charge
equation with the stretching and bending equations. For simulations, the
so-called filtered semi-discrete finite difference scheme is adopted.
