Robot's finger and expansions in non-integer bases

Anna Chiara Lai; Paola Loreti; Anna Chiara Lai; Paola Loreti

doi:10.3934/nhm.2012.7.71

Networks and Heterogeneous Media

2012, Volume 7, Issue 1: 71-111. doi: 10.3934/nhm.2012.7.71

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Robot's finger and expansions in non-integer bases

Anna Chiara Lai ^{1
,},
Paola Loreti ^{2
,}

1.
Sapienza Università di Roma, Dipartimento di Scienze di Base e Applicate per l’Ingegneria, Sezione Matematica, Via A. Scarpa n.16 00161 Roma
2.
Sapienza Università di Roma, Sapienza Università di Roma, Dipartimento di Scienze di Base e Applicate per l’Ingegneria, Sezione Matematica, Via A. Scarpa n.16 00161 Roma

Received: 01 July 2011 Revised: 01 December 2011
70E60, 11A63.

We study a robot finger model in the framework of the theory of expansions in non-integer bases. We investigate the reachable set and its closure. A control policy to get approximate reachability is also proposed.
- Robot finger,
- discrete control,
- expansions in non-integer bases,
- expansions in complex bases
Citation: Anna Chiara Lai, Paola Loreti. Robot's finger and expansions in non-integer bases[J]. Networks and Heterogeneous Media, 2012, 7(1): 71-111. doi: 10.3934/nhm.2012.7.71

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Abstract

We study a robot finger model in the framework of the theory of expansions in non-integer bases. We investigate the reachable set and its closure. A control policy to get approximate reachability is also proposed.

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