The geometry of Lie algebroids and its applications to optimal control

Autor:	Popescu, Liviu
Rok vydání:	2013
Předmět:	Mathematics - Differential Geometry Mathematics - Optimization and Control 17B66 53C05 70S05 49K99
Druh dokumentu:	Working Paper
Popis:	The paper presents the geometry of Lie algebroids and its applications to optimal control. The first part deals with the theory of Lie algebroids, connections on Lie algebroids and dynamical systems defined on Lie algebroids (mainly Lagrangian and Hamiltonian systems). In the second part we use the framework of Lie algebroids in the study of distributional systems (drift less control affine systems) with holonomic or nonholonomic distributions. Comment: 128 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1302.5212 Zobrazit plný text záznamu View this record from Arxiv