Integrals of motion for discrete-time optimal control problems

被引：0

作者：

Torres, DFM ^{[1
]}

机构：

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

来源：

CONTROL APPLICATIONS OF OPTIMISATION 2003 | 2003年

关键词：

discrete time optimal control; discrete time calculus of variations; discrete time Pontryagin extremals; quasi-invariance up to difference gauge terms; discrete version of Noether's theorem;

D O I：

暂无

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 discrete time analog of E. Noether's theorem in Optimal Control, asserting that integrals of motion associated to the discrete time Pontryagin Maximum Principle can be computed from the quasi-invariance properties of the discrete time Lagrangian and discrete time control system. As corollaries, conservation laws for discrete problems of the calculus of variations are obtained. Copyright (C) 2003 IFAC.

引用

页码：33 / 38

页数：6

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