LIE ALGEBROIDS FRAMEWORK FOR DISTRIBUTIONAL SYSTEMS

被引：0

作者：

Popescu, Liviu ^{[1
]}

机构：

[1] Univ Craiova, Dept Appl Math Econ, Craiova 200585, Romania

来源：

ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA | 2009年 / 55卷 / 02期

关键词：

Lie algebroids; pontryagin maximum principle; distributional systems;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the distributional systems (driftless control affine systems) with positive homogeneous cost, using the framework of Lie algebroids. The method consists of applying the Pontryagin Maximum Principle at the level of Lie algebroid built for both holonomic and nonholonomic distributions. This simplified the approaches and reveals certain important connections.

引用

页码：257 / 274

页数：18

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