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Sufficiency conditions for multiple integral control problems

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Abstract

The construction of multiple integrals which are independent, in the sense that they depend solely on the values of their integrands on the boundary of the domain of integration is described. These integrals are applied to the derivation of a sufficiency condition for multiple integral optimal control problems.

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Authors and Affiliations

  1. Department of Mathematics, University of Arizona, Tucson, Arizona

    H. Rund (Professor and Head)

Authors
  1. H. Rund
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Additional information

Communicated by G. Leitmann

This research was supported in part by NSF Grant No. GP-32830.

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Rund, H. Sufficiency conditions for multiple integral control problems. J Optim Theory Appl 13, 125–138 (1974). https://doi.org/10.1007/BF00935533

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  • DOI: https://doi.org/10.1007/BF00935533

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