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.
Discrete asymptotic reachability via expansions in non-integer bases / Lai, ANNA CHIARA; Loreti, Paola. - 2:(2012), pp. 360-365. (Intervento presentato al convegno 9th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2012 tenutosi a Rome; Italy nel 28 July 2012 through 31 July 2012) [10.5220/0004092403600365].
Discrete asymptotic reachability via expansions in non-integer bases
LAI, ANNA CHIARA;LORETI, Paola
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
