Optimal Control of Sweeping Processes in Robotics and Traffic Flow Models

@article{Colombo2019OptimalCO,
  title={Optimal Control of Sweeping Processes in Robotics and Traffic Flow Models},
  author={G. Colombo and B. Mordukhovich and N. Hoang},
  journal={Journal of Optimization Theory and Applications},
  year={2019},
  pages={1-34}
}
The paper is mostly devoted to applications of a novel optimal control theory for perturbed sweeping/Moreau processes to two practical dynamical models. The first model addresses mobile robot dynamics with obstacles, and the second one concerns control and optimization of traffic flows. Describing these models as controlled sweeping processes with pointwise/hard control and state constraints and applying new necessary optimality conditions for such systems allow us to develop efficient… Expand
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