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Journal of Dynamical and Control Systems

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26-06-2015

Point Charges and Polygonal Linkages

Authors: Giorgi Khimshiashvili, Gaiane Panina, Dirk Siersma, Vladimir Zolotov

Published in: Journal of Dynamical and Control Systems | Issue 1/2017

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Abstract

We investigate the critical points of Coulomb potential of point charges placed at the vertices of a planar polygonal linkage. It is shown that, for a collection of positive charges on a pentagonal linkage, there is a unique critical point in the set of convex configurations which is the point of absolute minimum. This enables us to prove that two controlling charges are sufficient to navigate between any two convex configurations of a pentagonal linkage.

next article Null Controllability of a Coupled System of Two Korteweg-de Vries Equations from the Left Dirichlet Boundary Conditions

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Title: Point Charges and Polygonal Linkages
Authors: Giorgi Khimshiashvili
Gaiane Panina
Dirk Siersma
Vladimir Zolotov
Publication date: 26-06-2015
Publisher: Springer US
Published in: Journal of Dynamical and Control Systems / Issue 1/2017
Print ISSN: 1079-2724
Electronic ISSN: 1573-8698
DOI: https://doi.org/10.1007/s10883-015-9286-3

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