IFIP TC7 System Modeling and Optimization

Optimal control of rate-independent systems with non-convex energy

Aug 13, 2024, 11:30 AM

30m

Seminarraum 207 (Von-Melle-Park 8)

Minisymposium Contribution MS 06: Recent advances in PDE-constrained optimization MS 06: Recent advances in PDE-constrained optimization

Speaker

Merlin Andreia (TU Dortmund)

Description

This talk deals with an optimal control problem, where the state variable is given as a parametrized balanced viscosity solution of a rate-independent system with non convex energy.
Under certain assumptions on the data one can prove the existence of globally optimal solutions for external loads in $H^1(0,T)$.
Moreover, we investigate the approximability of optimal solutions by viscous regularized problems.
The underlying analysis is based on an approximation argument including an additional penalty term besides viscous regularization.