Coulomb Control of Polygonal Linkages

被引:0
|
作者
G. Khimshiashvili
G. Panina
D. Siersma
机构
[1] Ilia State University,Institute for Informatics and Automation
[2] Saint-Petersburg State University,undefined
[3] University of Utrecht,undefined
关键词
Polygonal linkage; Planar configuration; Point charge; Coulomb potential; Critical point; Equilibrium;
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学科分类号
摘要
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.
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页码:491 / 501
页数:10
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