TY - GEN A1 - Stefanelli, Ulisse A1 - Wachsmuth, Daniel A1 - Wachsmuth, Gerd T1 - Optimal control of a rate-independent evolution equation via viscous regularization T2 - Discrete and Continuous Dynamical Systems - Series S (DCDS-S) N2 - We study the optimal control of a rate-independent system that is driven by a convex quadratic energy. Since the associated solution mapping is non-smooth, the analysis of such control problems is challenging. In order to derive optimality conditions, we study the regularization of the problem via a smoothing of the dissipation potential and via the addition of some viscosity. The resulting regularized optimal control problem is analyzed. By driving the regularization parameter to zero, we obtain a necessary optimality condition for the original, non-smooth problem. KW - Rate-independent system KW - optimal control KW - necessary optimality conditions Y1 - 2019 UR - https://opus4.kobv.de/opus4-UBICO/frontdoor/index/index/docId/23247 SN - 1937-1632 SN - 1937-1179 VL - 10 IS - 6 SP - 1467 EP - 1485 ER -