Numerical Method for a Controlled Sweeping Process with Nonsmooth Sweeping Set
arXiv:2311.16611 · doi:10.1007/s10957-024-02470-x
Abstract
The numerical method developed in [30] for optimal control problems involving sweeping processes with smooth sweeping set C is generalized to the case where C is nonsmooth, namely, C is the intersection of a finite number of sublevel sets of smooth functions. The novelty of this extension resides in producing for the general setting a different approach, since the one used for the smooth sweeping sets is not applicable here.