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Interconnections and symmetries of linear differential systems
Authors:Fabio Fagnani  Jan C Willems
Affiliation:(1) Scuola Normale Superiore, Piazza dei Cavalieri, 56100 Pisa, Italy;(2) University of Groningen, P.O. Box 800, 9700 AV Groningen, The Netherlands
Abstract:In this paper we study the interplay between control problems and symmetries in the context of linear systems. In particular, we establish sufficient conditions under which it is possible to control a symmetric system in order to make it achieve control objectives, without ldquobreakingrdquo its symmetry.
Keywords:Feedback  Interconnection  Linear system  Reductive group  Symmetry
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