Optimization and Discrete Approximation of Sweeping Processes with Controlled Moving Sets and Perturbations

@article{Cao2020OptimizationAD,
  title={Optimization and Discrete Approximation of Sweeping Processes with Controlled Moving Sets and Perturbations},
  author={Tan H. Cao and G. Colombo and B. Mordukhovich and Dao Nguyen},
  journal={arXiv: Optimization and Control},
  year={2020}
}
This paper addresses a new class of optimal control problems for perturbed sweeping processes with measurable controls in additive perturbations of the dynamics and smooth controls in polyhedral moving sets. We develop a constructive discrete approximation procedure that allows us to strongly approximate any feasible trajectory of the controlled sweeping process by feasible discrete trajectories and also establish a $W^{1,2}$-strong convergence of optimal trajectories for discretized control… Expand
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