Interconnections and symmetries of linear differential systems |
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Authors: | Fabio Fagnani Jan C Willems |
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Affiliation: | (1) Scuola Normale Superiore, Piazza dei Cavalieri, 56100 Pisa, Italy;(2) University of Groningen, P.O. Box 800, 9700 AV Groningen, The Netherlands |
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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 breaking its symmetry. |
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Keywords: | Feedback Interconnection Linear system Reductive group Symmetry |
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