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Distributed control of systems over discrete Groups

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2 Author(s)
Recht, B. ; Media Lab, Massachusetts Inst. of Technol., Cambridge, MA, USA ; D'Andrea, R.

This paper discusses distributed controller design and analysis for distributed systems with arbitrary discrete symmetry groups. We show how recent results for designing controllers for spatially interconnected systems, based on semidefinite programming, are applicable to a much larger class of interconnection topologies. We also show how to exploit the structure of the symmetry group to produce a hierarchy of decreasingly conservative analysis and synthesis conditions.

Published in:

Automatic Control, IEEE Transactions on  (Volume:49 ,  Issue: 9 )