Geometric Approach to Pontryagin's Maximum Principle

@misc{citeulike:2796873, abstract = {Pontryagin's Maximum Principle has been widely discussed and used in Optimal Control Theory since the second half of the 20th century. Here, we focus on the proof and on the understanding of this Principle, using as much as possible geometric ideas and tools. This approach provides a better and clearer understanding of the Principle and, in particular, of the role of the abnormal extremals. In order to give a detailed exposition of the proof, the paper is mostly self-contained.}, author = {Barbero-Li\~{n}\'{a}n, Mar\'{i}a and Mu\~{n}oz-Lecanda, Miguel C. }, citeulike-article-id = {2796873}, eprint = {0805.1169}, keywords = {optimization, pontryagin}, month = {May}, posted-at = {2008-05-14 07:52:54}, priority = {2}, title = {Geometric Approach to Pontryagin's Maximum Principle}, url = {http://arxiv.org/abs/0805.1169}, year = {2008} }

TY - ELEC ID - citeulike:2796873 L3 - citeulike-article-id:2796873 TI - Geometric Approach to Pontryagin's Maximum Principle N2 - Pontryagin's Maximum Principle has been widely discussed and used in Optimal Control Theory since the second half of the 20th century. Here, we focus on the proof and on the understanding of this Principle, using as much as possible geometric ideas and tools. This approach provides a better and clearer understanding of the Principle and, in particular, of the role of the abnormal extremals. In order to give a detailed exposition of the proof, the paper is mostly self-contained. KW - optimization KW - pontryagin AU - Barbero-Liñán, María AU - Muñoz-Lecanda, Miguel PY - 2008/May/08/ UR - http://arxiv.org/abs/0805.1169 ER -