Аннотация:An optimal control problem is considered for longitudinal motion of a homogeneous elastic rod with piezoelectric actuators attached without gaps along its length. The control inputs are boundary forces and normal stresses. The latter are induced by the actuators in the cross section and varied piecewiseconstantly along the rod. All segments on which stresses are constant (piezoelements) have the same length. For given initial and terminal conditions at a fixed control time, the weighted sum of the rod’s mean energy and squared norm of control functions is minimized. Given the number of piezoelements, the shortestadmissible time is found for which the rod can be transferred to an arbitrary state. The exact solution represented via traveling waves is found based on an integrodifferential statement of the problem which is reduced to a one-dimensional variational problem. The optimal values of system functionals are analyzeddepending on the number of piezoelements and the weighting coefficient.