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Coulomb Control of Polygonal Linkages

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Publication date

2014-03-17

Authors

Khimshiashvili, Giorgi N.
Panina, Gaiane Yu
Siersma, D.ISNI 0000000116400912

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DOI

https://doi.org/10.1007/s10883-014-9218-7

Document Type

Article

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Abstract

Equilibria of polygonal linkage with respect to Coulomb potential of point charges placed at the vertices of linkage are considered. It is proved that any convex configuration of a quadrilateral linkage is the point of global minimum of Coulomb potential for appropriate values of charges of vertices. Similar problems are treated for the equilateral pentagonal linkage. Some corollaries and applications in the spirit of control theory are also presented.

Keywords

Coulomb potential, Critical point, Equilibrium, Planar configuration, Point charge, Polygonal linkage

Citation

Khimshiashvili, G N, Panina, G Y & Siersma, D 2014, 'Coulomb Control of Polygonal Linkages', Journal of Dynamical and Control Systems, vol. 20, no. 4, pp. 491-501. https://doi.org/10.1007/s10883-014-9218-7

URI

https://dspace.library.uu.nl/handle/1874/306739