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.
Lai, A.C., Paola, L. (2012). Discrete asymptotic reachability via expansions in non-integer bases. In ICINCO 2012 - Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics (pp.360-365). SciTePress - Science and and Technology Publications [10.5220/0004092403600365].
Discrete asymptotic reachability via expansions in non-integer bases
LAI, ANNA CHIARA;
2012-01-01
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
