The symmetry group of a model of hyperbolic plane geometry and some associated invariant optimal control problems
In this thesis we study left-invariant control offine systems on the symmetry group of a. model of hyperbolic plane geometry, the matrix Lie group SO(1, 2)₀. We determine that there are 10 distinct classes of such control systems and for typical elements of two of these classes we provide solutions...
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| Format: | Others |
| Language: | English |
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Rhodes University
2012
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| Online Access: | http://hdl.handle.net/10962/d1018232 |