Entry and leaving arcs of turnpikes: their exact computation in the calculus of variations

被引：0

作者：

Bayon, Luis ^{[1
]}

Ayuso, Pedro Fortuny ^{[1
]}

Grau, Jose Maria ^{[1
]}

Ruiz, Maria del Mar ^{[1
]}

机构：

[1] Univ Oviedo, Dept Matemat, Oviedo, Spain

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2024年 / 67卷 / 01期

关键词：

Turnpike; saddle; entry and leaving arcs; OPTIMIZATION;

D O I：

10.4153/S000843952300070X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We settle the question of how to compute the entry and leaving arcs for turnpikes in autonomous variational problems, in the one-dimensional case using the phase space of the vector field associated with the Euler equation, and the initial/final and/or the transversality condition. The results hinge on the realization that extremals are the contours of a well-known function and that the transversality condition is (generically) a curve. An approximation algorithm is presented, and an example is included for completeness.

引用

页码：227 / 243

页数：17