# OPTIMAL CONTROL OF THE SWEEPING PROCESS

@inproceedings{Colombo2012OPTIMALCO, title={OPTIMAL CONTROL OF THE SWEEPING PROCESS}, author={G. Colombo and R. Henrion and N. Hoang and B. Mordukhovich}, year={2012} }

We formulate and study an optimal control problem for the sweeping (More- au) process, where control functions enter the moving sweeping set. To the best of our knowledge, this is the first study in the literature devoted to optimal control of the sweep- ing process. We first establish an existence theorem of optimal solutions and then derive necessary optimality conditions for this optimal control problem of a new type, where the dynamics is governed by discontinuous differential inclusionsâ€¦Â Expand

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