  The paper is concerned with an optimal control problem governed by the
equations of elasto plasticity with linear kinematic hardening and the inertia
term at small strain. The objective is to optimize the displacement field and
plastic strain by controlling volume forces. The idea given in [10] is used to
transform the state equation into an evolution variational inequality (EVI)
involving a certain maximal monotone operator. Results from [27] are then used
to analyze the EVI. A regularization is obtained via the Yosida approximation
of the maximal monotone operator, this approximation is smoothed further to
derive optimality conditions for the smoothed optimal control problem.
