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The maximum principle for control distributions

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Summary

Pontrjagin's maximum principle holds for a switchable distribution of C1-regular nonautonomous vector fields on a finite dimensional C2-manifold. The flow-theoretic proof does not require that the distribution contains those autonomous fields that correspond to constant controllers in the classical formulation.

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Entrata in Redazione il 12 marzo 1972.

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Francis, G.K. The maximum principle for control distributions. Annali di Matematica 96, 107–118 (1973). https://doi.org/10.1007/BF02414833

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Keywords

  • Vector Field
  • Maximum Principle
  • Classical Formulation
  • Control Distribution
  • Constant Controller