Optimal control of the sweeping process over polyhedral controlled sets

@article{Colombo2015OptimalCO,
  title={Optimal control of the sweeping process over polyhedral controlled sets},
  author={G. Colombo and R. Henrion and N. Hoang and B. Mordukhovich},
  journal={arXiv: Optimization and Control},
  year={2015}
}
The paper addresses a new class of optimal control problems governed by the dissipative and discontinuous differential inclusion of the sweeping/Moreau process while using controls to determine the best shape of moving convex polyhedra in order to optimize the given Bolza-type functional, which depends on control and state variables as well as their velocities. Besides the highly non-Lipschitzian nature of the unbounded differential inclusion of the controlled sweeping process, the optimal… Expand
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