Lasalle's Invariance Theorem for Nonsmooth Lagrangian Dynamical Systems

Abstract : A key condition for the statement of Lasalle's invariance theorem is the continuity of the trajectories of the dynamical systems with respect to initial conditions. Systems with discontinuous flows generally don't present such a continuity, but in the particular case of nonsmooth Lagrangian dynamical systems we will see that in fact this continuity property holds in most cases. We will then be able to propose a a LaSalle's invariance theorem for nonsmooth dynamical systems satisfying this property through the use of general time-invariant flows.orem for nonsmooth dynamical systems still needs to be stated, so we propose here to extend this theorem through the framework of nonsmooth dynamical systems.
Liste complète des métadonnées

Cited literature [17 references]  Display  Hide  Download

https://hal.inria.fr/inria-00390416
Contributor : Pierre-Brice Wieber <>
Submitted on : Tuesday, June 2, 2009 - 10:07:12 AM
Last modification on : Monday, October 8, 2018 - 9:40:07 AM
Document(s) archivé(s) le : Friday, June 11, 2010 - 12:09:09 AM

File

lasalle.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : inria-00390416, version 1

Collections

Citation

Sophie Chareyron, Pierre-Brice Wieber. Lasalle's Invariance Theorem for Nonsmooth Lagrangian Dynamical Systems. Euromech Nonlinear Dynamics Conference, 2005, Eindhoven, Netherlands. ⟨inria-00390416⟩

Share

Metrics

Record views

294

Files downloads

591