Discrete Asymptotic Reachability via Expansions in Non-integer Bases

Anna Chiara Lai, Paola Loreti

2012

Abstract

Aim of this paper is to show the connection between the theory of expansions in non-integer bases and discrete control systems. This idea is supported by an example of application, in the framework of robotics. We show how a model of multi-phalanx self-similar robot hand may be studied by means of results and techniques coming from non-standard numeration systems and related tools, like Iterated Function Systems (IFS) and, more generally, fractal geometry.

Paper Citation

in Harvard Style

Lai A. and Loreti P. (2012). Discrete Asymptotic Reachability via Expansions in Non-integer Bases . In Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO, ISBN 978-989-8565-22-8, pages 360-365. DOI: 10.5220/0004092403600365

in Bibtex Style

@conference{icinco12,
author={Anna Chiara Lai and Paola Loreti},
title={Discrete Asymptotic Reachability via Expansions in Non-integer Bases},
booktitle={Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO,},
year={2012},
pages={360-365},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004092403600365},
isbn={978-989-8565-22-8},
}

in EndNote Style

TY - CONF
JO - Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO,
TI - Discrete Asymptotic Reachability via Expansions in Non-integer Bases
SN - 978-989-8565-22-8
AU - Lai A.
AU - Loreti P.
PY - 2012
SP - 360
EP - 365
DO - 10.5220/0004092403600365