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A note on the use of direct sufficient conditions in optimal control problems

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It is always possible to transform a nonautonomous optimal control problem into an autonomous one. However, the direct sufficient conditions may yield no information when applied to this autonomous problem, even though they do allow one to conclude sufficiency when applied to the original nonautonomous problem.

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This research was supported by the Air Force Office of Scientific Research, under Grant No. AFOSR-76-2923.

Communicated by G. Leitmann

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Schmitendorf, W.E. A note on the use of direct sufficient conditions in optimal control problems. J Optim Theory Appl 23, 465–470 (1977). https://doi.org/10.1007/BF00933453

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Key Words

  • Sufficiency theorems
  • optimal control theory
  • control theory
  • optimization theorems