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.
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页码：33 / 38
页数：6
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