Optimality conditions for a controlled sweeping process with applications to the crowd motion model

@article{Cao2015OptimalityCF,
  title={Optimality conditions for a controlled sweeping process with applications to the crowd motion model},
  author={Tan H. Cao and B. Mordukhovich},
  journal={arXiv: Optimization and Control},
  year={2015}
}
The paper concerns the study and applications of a new class of optimal control problems governed by a perturbed sweeping process of the hysteresis type with control functions acting in both play-and-stop operator and additive perturbations. Such control problems can be reduced to optimization of discontinuous and unbounded differential inclusions with pointwise state constraints, which are immensely challenging in control theory and prevent employing conventional variation techniques to derive… Expand

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