A Maximum Principle for the Controlled Sweeping Process

@article{Arroud2016AMP,
  title={A Maximum Principle for the Controlled Sweeping Process},
  author={Chems Eddine Arroud and G. Colombo},
  journal={Set-Valued and Variational Analysis},
  year={2016},
  volume={26},
  pages={607-629}
}
We consider the free endpoint Mayer problem for a controlled Moreau process, the control acting as a perturbation of the dynamics driven by the normal cone, and derive necessary optimality conditions of Pontryagin’s Maximum Principle type. The results are also discussed through an example. We combine techniques from Sene and Thibault (Journal of Nonlinear and Convex Analysis 15, 647–663, 2014) and from Brokate and Krejčí (Discrete and Continuous Dynamical Systems Series B 18, 331–348, 2013… Expand
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