doi: 10.1685/journal.caim.364

Expansions in non-integer bases in communication control problems

Anna Chiara Lai, Paola Loreti

Abstract


In this paper we study the density of discrete reachable sets. In particular we are interested to achieve the density results under minimal assumptions on the control set. Our main result states that, under appropriate algebraic assumptions on the system, two controls with opposite signs are sufficient to get the density of the reachable set in the unidimensional linear case.

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Communications in Applied and Industrial Mathematics
ISSN: 2038-0909