A geometric derivation of transversality and corner conditions of the calculus of variations via dynamic programming

Stuart E. Dreyfus

ResearchPublished 1966

Shows how certain well-known geometric facts concerning the gradient of a continuously differentiable function can be used, in conjunction with dynamic programming, to deduce transversality and corner conditions of the calculus of variations. The reader is assumed to be familiar with algebraic and geometric aspects of optimal control theory. (See also P-3289.) 19 pp. Ref.

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  • Copyright: RAND Corporation
  • Availability: Available
  • Year: 1966
  • Print Format: Paperback
  • Paperback Pages: 19
  • Paperback Price: $20.00
  • Document Number: RM-5093-PR

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RAND Style Manual
Dreyfus, Stuart E., A geometric derivation of transversality and corner conditions of the calculus of variations via dynamic programming, RAND Corporation, RM-5093-PR, 1966. As of September 24, 2024: https://www.rand.org/pubs/research_memoranda/RM5093.html
Chicago Manual of Style
Dreyfus, Stuart E., A geometric derivation of transversality and corner conditions of the calculus of variations via dynamic programming. Santa Monica, CA: RAND Corporation, 1966. https://www.rand.org/pubs/research_memoranda/RM5093.html. Also available in print form.
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