Generic analytical embedding methods for nonstationary systems based on control theory. / Reitmann, Volker; Kantz, Holger.
2005. 425-428 Paper presented at 2005 International Conference on Physics and Control, PhysCon 2005, St. Petersburg, Russian Federation.Research output: Contribution to conference › Paper › peer-review
}
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 -
ID: 73407150