Rowley, Clarence W. and Marsden, Jerrold E. (2002) Variational integrators for degenerate Lagrangians, with application to point vortices. In: Proceedings of the 41st IEEE Conference on Decision and Control. Proceedings IEEE Conference on Decision and Control. IEEE , Piscataway, NJ, pp. 1521-1527. ISBN 0-7803-7516-5 http://resolver.caltech.edu/CaltechAUTHORS:20101007-083427136
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We develop discrete mechanics and variational integrators for a class of degenerate Lagrangian systems, and apply these integrators to a system of point vortices. Excellent numerical behavior is observed. A longer term goal is to use these integration methods in the context of control of mechanical systems, such as coordinated groups of underwater vehicles. In fact, numerical evidence given in related problems, such as those in  shows that in the presence of external forces, these methods give superior predictions of energy behavior.
|Item Type:||Book Section|
|Additional Information:||© 2002 IEEE.|
|Subject Keywords:||coordinated groups , degenerate Lagrangian systems , discrete mechanics , mechanical systems , numerical behavior , point vortices , underwater vehicles , variational integrators|
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|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Tony Diaz|
|Deposited On:||19 Nov 2010 23:39|
|Last Modified:||26 Dec 2012 12:30|
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