Generic analytical embedding methods for nonstationary systems based on control theory

被引:0
|
作者
Reitmann, V [1 ]
Kantz, H [1 ]
机构
[1] Max Planck Inst Phys Complex Syst, D-01187 Dresden, Germany
关键词
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中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We investigate by embedding methods a class of nonholonomic and forced systems arising in particular from the rolling pneumatic tire. For these systems the existing embedding theorems of Takens-type are not applicable due to the nonholonomic constraints, the time-dependence of the forces, and the noncompactness of the phase space. To overcome these difficulties we interpret the given mechanical system as a vector field on a nontrivial fiber bundle with time-dependent Riemannian fiber metric.
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页码:425 / 428
页数:4
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