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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

  • 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.

    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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  • 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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    7. C. Baiocchi, V. Komornik, P. Loreti, Cantor type functions in non-integer bases, 2017, 153, 0236-5294, 83, 10.1007/s10474-017-0732-4
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    9. Anna Chiara Lai, Paola Loreti, Self-similar control systems and applications to zygodactyl bird's foot, 2015, 10, 1556-1801, 401, 10.3934/nhm.2015.10.401
    10. 2021, 9781119515104, 207, 10.1002/9781119515104.biblio
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  • © 2012 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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