Index-Free Multiagent Systems: An Eulerian Approach
Author(s)
Kingston, Peter
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Abstract
Since the properties of systems comprising many homogeneous agents may be
expected to be independent of how the agents happen to be indexed, it should be possible to
formulate and solve multiagent control problems in an index-free way. In this paper we provide
such an approach, based on an indicator distribution representation, which results in integro-differential
dynamics that parallel and extend those obtained within the traditional indexed
formulations. Conservation and stability properties are proven; a compatible geometric structure
is constructed for the indexed representation; and a discrete analogue is presented which
illustrates that for certain problems the Eulerian viewpoint results in very simple controllers.
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Date
2010-09
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Proceedings