Hybrid Necessary Principle

@article{Garavello2005HybridNP,
  title={Hybrid Necessary Principle},
  author={Mauro Garavello and Benedetto Piccoli},
  journal={Proceedings of the 44th IEEE Conference on Decision and Control},
  year={2005},
  pages={723-728}
}
We consider a hybrid control system and general optimal control problems for this system. We suppose that the switching strategy imposes restrictions on control sets and weprovide necessary conditions for an optimal hybrid trajectory, stating a Hybrid Necessary Principle (HNP). Our result generalizes various necessary principles available in the literature. 
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