Date of Award:
5-1976
Document Type:
Thesis
Degree Name:
Master of Science (MS)
Department:
Mathematics and Statistics
Department name when degree awarded
Mathematics
Committee Chair(s)
Clyde Martin
Committee
Clyde Martin
Abstract
Basic concepts of differential geometry and Lie theory are introduced. Lie transformation groups are applied to linear systems of differential equations and the problem of describing rigid body orientation. Linear Hamiltonian systems are then treated as a Lie system of differential equations. This theory is applied to a particular Hamiltonian system arising from a problem in control theory, the linear state regulator problem.
Checksum
c58d2583690de9821802d38d34205485
Recommended Citation
Brannan, James R., "Interpretation and Application of Elements of Differential Geometry and Lie Theory" (1976). All Graduate Theses and Dissertations, Spring 1920 to Summer 2023. 6952.
https://digitalcommons.usu.edu/etd/6952
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