Invariant control systems and sub-Riemannian structures on lie groups: equivalence and isometries

In this thesis we consider invariant optimal control problems and invariant sub-Riemannian structures on Lie groups. Primarily, we are concerned with the equivalence and classification of problems (resp. structures). In the first chapter, both the class of invariant optimal control problems and the...

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Bibliographic Details
Main Author: Biggs, Rory
Format: Others
Language:English
Published: Rhodes University 2015
Online Access:http://hdl.handle.net/10962/64815