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}
}
  • L. Adam, J. Outrata
  • Published 2014
  • Mathematics
  • Discrete and Continuous Dynamical Systems-series B
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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Relaxation of an optimal control problem involving a perturbed sweeping process
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