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Authors: Anna Chiara Lai and Paola Loreti

Affiliation: Sapienza Università di Roma, Italy

Keyword(s): Discrete Control Theory, Expansion in Non-integer Bases, Robot Hand.

Related Ontology Subjects/Areas/Topics: Control and Supervision Systems ; Informatics in Control, Automation and Robotics ; Intelligent Control Systems and Optimization ; Optimization Algorithms ; Robot Design, Development and Control ; Robotics and Automation

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.

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Paper citation in several formats:
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; ISSN 2184-2809, SciTePress, pages 360-365. DOI: 10.5220/0004092403600365

@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},
issn={2184-2809},
}

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
IS - 2184-2809
AU - Lai, A.
AU - Loreti, P.
PY - 2012
SP - 360
EP - 365
DO - 10.5220/0004092403600365
PB - SciTePress