Hamiltonian Necessary Conditions for a Multiobjective Optimal Control Problem with Endpoint Constraints

Q. J. Zhu

Abstract: This paper discusses Hamiltonian necessary  conditions for a nonsmooth  multiobjective optimal control problem with endpoint  constraints involving a general preference.  The transversality condition in our necessary conditions is  stated in terms of normal cones to the level sets of the preference. Examples involving a number of useful preferences are discussed.

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