Mechanical control systems on Lie algebroids
نویسندگان
چکیده
منابع مشابه
Mechanical control systems on Lie algebroids
This paper considers control systems defined on Lie algebroids. After deriving basic controllability tests for general control systems, we specialize our discussion to the class of mechanical control systems on Lie algebroids. This class of systems includes mechanical systems subject to holonomic and nonholonomic constraints, mechanical systems with symmetry and mechanical systems evolving on s...
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Providing an appropriate definition of a horizontal subbundle of a Lie algebroid will lead to construction of a better framework on Lie algebriods. In this paper, we give a new and natural definition of a horizontal subbundle using the prolongation of a Lie algebroid and then we show that any linear connection on a Lie algebroid generates a horizontal subbundle and vice versa. The same correspo...
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ژورنال
عنوان ژورنال: IMA Journal of Mathematical Control and Information
سال: 2004
ISSN: 0265-0754,1471-6887
DOI: 10.1093/imamci/21.4.457