In this paper we study the density of discrete reachable sets. In particular we are interested in achieving 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.
Expansions in non-integer bases in communication control problems / Lai, ANNA CHIARA; Loreti, Paola. - In: COMMUNICATIONS IN APPLIED AND INDUSTRIAL MATHEMATICS. - ISSN 2038-0909. - ELETTRONICO. - (2011). [10.1685/journal.caim.364]
Expansions in non-integer bases in communication control problems
LAI, ANNA CHIARA;LORETI, Paola
2011
Abstract
In this paper we study the density of discrete reachable sets. In particular we are interested in achieving 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.File allegati a questo prodotto
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