A very non-smooth maximum principle with state constraints

@article{Sussmann2005AVN,
  title={A very non-smooth maximum principle with state constraints},
  author={H. J. Sussmann},
  journal={Proceedings of the 44th IEEE Conference on Decision and Control},
  year={2005},
  pages={917-922}
}
  • H.J. Sussmann
  • Published 2005 in
    Proceedings of the 44th IEEE Conference on…
We present a version of the Pontryagin Maximum Principle with state-space constraints and very weak technical hypotheses. The result does not require the time-varying vector fields corresponding to the various control values to be continuously differentiable, Lipschitz, or even continuous with respect to the state, since all that is needed is that they be "co-integrably bounded integrally continuous." This includes the case of vector fields that are continous with respect to the state, as well… CONTINUE READING

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