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Discrete mechanics and control on Lie groupoids
Author(s) -
Martínez Eduardo
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700760
Subject(s) - composability , mathematics , lie algebra , control (management) , order (exchange) , pure mathematics , algebra over a field , lie group , computer science , distributed computing , artificial intelligence , business , finance
Abstract The first order optimality conditions for discrete‐time optimal control problems defined on Lie groupoids are found, and they are expressed in terms of composability in a groupoid. Some examples are shown. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)