Optimal Arcs and the Minimum Value Function in Problems of Lagrange
Open Access
- 1 June 1973
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 180, 53-83
- https://doi.org/10.2307/1996655
Abstract
Existence theorems are proved for basic problems of Lagrange in the calculus of variations and optimal control theory, in particular problems for arcs with both endpoints fixed. Emphasis is placed on deriving continuity and growth properties of the minimum value of the integral as a function of the endpoints of the arc and the interval of integration. Control regions are not required to be bounded. Some results are also obtained for problems of Bolza.Keywords
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