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Design of continuous-time flows on intertwined orbit spaces

Absil, P-A; Lageman, Christian; Manton, Jonathan


Consider a space M endowed with two or more Lie group actions. Under a certain condition on the orbits of the Lie group actions, we show how to construct a flow on M that projects to prescribed flows on the orbit spaces of the group actions. Hence, in order to design a flow that converges to the intersection of given orbits, it suffices to design flows on the various orbit spaces that display convergence to the desired orbits, and then to lift these flows to M using the proposed procedure. We...[Show more]

CollectionsANU Research Publications
Date published: 2007
Type: Conference paper
Source: Proceedings of the 46th IEEE Conference on Decision and Control 2007
DOI: 10.1109/CDC.2007.4434712


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