On the Noether theorem for optimal control

被引：53

作者：

Torres, DFM ^{[1
]}

机构：

[1] Univ Aveiro, Dept Math, P-3810193 Aveiro, Portugal

来源：

EUROPEAN JOURNAL OF CONTROL | 2002年 / 8卷 / 01期

关键词：

calculus of variations; first integrals; Noether's theorem; optimal control; Pontryagin extremals;

D O I：

10.3166/ejc.8.56-63

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We obtain a generalization of E. Noether's theorem for the optimal control problems. The generalization involves a one-parameter family of smooth maps which may depend also on the control and a Lagrangian which is invariant up to an addition of an exact differential.

引用

页码：56 / 63

页数：8

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