Invariant optimal control on the three-dimensional semi-Euclidean group: control affine and quadratic Hamilton-Poisson systems

In this thesis we consider invariant control systems and Hamilton-Poisson systems on the three dimensional semi-Euclidean group SE(1,1). We first classify the left-invariant control affine systems (under detached feedback equivalence). We provide a complete list of normal forms, as well as classifyi...

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Bibliographic Details
Main Author: Barrett, Dennis Ian
Format: Others
Language:English
Published: Rhodes University 2014
Online Access:http://hdl.handle.net/10962/64805

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