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Applied Math Seminar
Lie group and homogeneous variational integrators and their
applications to geometric optimal control theory
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The geometric approach to mechanics serves as the theoretical
underpinning of innovative control methodologies in geometric control
theory. These techniques allow the attitude of satellites to be
controlled using changes in its shape, as opposed to chemical
propulsion, and are the basis for understanding the ability of a
falling cat to always land on its feet, even when released in an
inverted orientation.
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