# On optimal control of a sweeping process coupled with an ordinary differential equation

@article{Adam2014OnOC, title={On optimal control of a sweeping process coupled with an ordinary differential equation}, author={L. Adam and J. Outrata}, journal={Discrete and Continuous Dynamical Systems-series B}, year={2014}, volume={19}, pages={2709-2738} }

We study a special case of an optimal control problem governed by a differential equation and a differential rate--independent variational inequality, both with given initial conditions. Under certain conditions, the variational inequality can be reformulated as a differential inclusion with discontinuous right-hand side. This inclusion is known as sweeping process.
We perform a discretization scheme and prove the convergence of optimal solutions of the discretized problems to the optimal… Expand

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