Variational integrators for degenerate Lagrangians, with application to point vortices

Clarence Worth Rowley, Jerrold E. Marsden

Research output: Contribution to journalConference article

21 Scopus citations

Abstract

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 [2] shows that in the presence of external forces, these methods give superior predictions of energy behavior.

Original languageEnglish (US)
Pages (from-to)1521-1527
Number of pages7
JournalProceedings of the IEEE Conference on Decision and Control
Volume2
StatePublished - Dec 1 2002
Event41st IEEE Conference on Decision and Control - Las Vegas, NV, United States
Duration: Dec 10 2002Dec 13 2002

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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