# 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

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