Meinlschmidt, HannesMeyer, ChristianWalther, Stephan2019-10-022019-10-022019-092190-1767http://hdl.handle.net/2003/3826110.17877/DE290R-20231The paper is concerned with an optimal control problem governed by a state equa-tion in form of a generalized abstract operator differential equation involving a maximal monotoneoperator. The state equation is uniquely solvable, but the associated solution operator is in generalnot Gˆateaux-differentiable. In order to derive optimality conditions, we therefore regularize the stateequation and its solution operator, respectively, by means of a (smoothed) Yosida approximation.We show convergence of global minimizers for regularization parameter tending to zero and derivenecessary and sufficient optimality conditions for the regularized problems. The paper ends with anapplication of the abstract theory to optimal control of homogenized quasi-static elastoplasticity.enErgebnisberichte des Instituts für Angewandte Mathematik;615optimal control of operator differential equationsYosida approximationnecessary and sufficient optimality conditionshomogenized plasticityevolution variational inequality610preprint