Sufficient conditions in the calculus of variations and in the theory of optimal control
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- by Zeev Nehari PDF
- Proc. Amer. Math. Soc. 39 (1973), 535-539 Request permission
Abstract:
A method is described for obtaining criteria confirming the optimality of solutions found either by integrating the Euler-Lagrange equations, or by applying the Pontrjagin necessary condition. The method is based on convexity considerations, and its success in a given problem depends on the judicious choice of certain arbitrary auxiliary functions.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 39 (1973), 535-539
- MSC: Primary 49B10
- DOI: https://doi.org/10.1090/S0002-9939-1973-0319007-1
- MathSciNet review: 0319007