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In this paper, we extend the study of mechanical systems in the general framework of Lie algebroids using the associated evolution nonlinear connections. In the case of the prolongations of… Click to show full abstract
In this paper, we extend the study of mechanical systems in the general framework of Lie algebroids using the associated evolution nonlinear connections. In the case of the prolongations of a Lie algebroid over the vector bundle projections, we prove the equivalence between a regular section and a mechanical structure. Finally, we justify this construction with an example from optimal control theory.
Keywords:
lie algebroids;
structures lie;
mechanical structures
Journal Title: Mediterranean Journal of Mathematics
Year Published: 2018
Link to full text (if available)
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Journal Title: Mediterranean Journal of Mathematics
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!