Discrete Approximations of a Controlled Sweeping Process

@article{Colombo2015DiscreteAO,
  title={Discrete Approximations of a Controlled Sweeping Process},
  author={G. Colombo and R. Henrion and N. Hoang and B. Mordukhovich},
  journal={Set-Valued and Variational Analysis},
  year={2015},
  volume={23},
  pages={69-86}
}
The paper is devoted to the study of a new class of optimal control problems governed by the classical Moreau sweeping process with the new feature that the polyhedral moving set is not fixed while controlled by time-dependent functions. The dynamics of such problems is described by dissipative non-Lipschitzian differential inclusions with state constraints of equality and inequality types. It makes challenging and difficult their analysis and optimization. In this paper we establish some… Expand
Optimal control of the sweeping process over polyhedral controlled sets
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