Optimization of a Perturbed Sweeping Process by Constrained Discontinuous Controls

@article{Colombo2020OptimizationOA,
  title={Optimization of a Perturbed Sweeping Process by Constrained Discontinuous Controls},
  author={G. Colombo and B. Mordukhovich and N. Hoang},
  journal={SIAM J. Control. Optim.},
  year={2020},
  volume={58},
  pages={2678-2709}
}
This paper deals with optimal control problems described by a controlled version of Moreau's sweeping process governed by convex polyhedra, where measurable control actions enter additive perturbations. This class of problems, which addresses unbounded discontinuous differential inclusions with intrinsic state constraints, is truly challenging and underinvestigated in control theory while being highly important for various applications. To attack such problems with constrained measurable… Expand
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