Abstract
We present two versions of the maximum principle for nonsmooth hybrid optimal control problems, the first one of which requires differentiability along the reference trajectory and yields an adjoint equation of the usual kind, while the second one only requires approximability to first order by Lipschitz maps, and yields an adjoint differential inclusion involving a generalized gradient of the approximating Hamiltonian
Research supported in part by NSF Grant DMS-9803411 and AFOSR Grant 0923.
Most of this work was done in the Netherlands, during a three-month visit at the University of Groningen, to which the author is immensely grateful for its generous hospitality and exciting intellectual atmosphere.
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Sussmann, H.J. (1999). A nonsmooth hybrid maximum principle. In: Aeyels, D., Lamnabhi-Lagarrigue, F., van der Schaft, A. (eds) Stability and Stabilization of Nonlinear Systems. Lecture Notes in Control and Information Sciences, vol 246. Springer, London. https://doi.org/10.1007/1-84628-577-1_17
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DOI: https://doi.org/10.1007/1-84628-577-1_17
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