TY - CONF

T1 - Generic analytical embedding methods for nonstationary systems based on control theory

AU - Reitmann, Volker

AU - Kantz, Holger

N1 - Copyright: Copyright 2008 Elsevier B.V., All rights reserved.

PY - 2005

Y1 - 2005

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=33746743836&partnerID=8YFLogxK

U2 - 10.1109/PHYCON.2005.1514020

DO - 10.1109/PHYCON.2005.1514020

M3 - Paper

AN - SCOPUS:33746743836

SP - 425

EP - 428

T2 - 2005 International Conference on Physics and Control, PhysCon 2005

Y2 - 24 August 2005 through 26 August 2005

ER -