HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

A Grobman-Hartman Theorem for Control Systems

Abstract : We consider the problem of locally linearizing a control system via topological transformations. According to [2, 3], there is no naive generalization of the classical Grobman-Hartman theorem for ODEs to control systems: a generic control system, when viewed as a set of underdetermined differential equations parametrized by the control, cannot be linearized using pointwise transformations on the state and the control values. However, if we allow the transformations to depend on the control at a functional level (open loop transformations), we are able to prove a version of the Grobman-Hartman theorem for control systems.
Document type :
Journal articles
Complete list of metadata

Cited literature [11 references]  Display  Hide  Download

Contributor : Jean-Baptiste Pomet Connect in order to contact the contributor
Submitted on : Tuesday, December 20, 2005 - 3:00:17 PM
Last modification on : Friday, January 21, 2022 - 3:20:55 AM
Long-term archiving on: : Friday, April 2, 2010 - 10:53:30 PM




Laurent Baratchart, Monique Chyba, Jean-Baptiste Pomet. A Grobman-Hartman Theorem for Control Systems. Journal of Dynamics and Differential Equations, Springer Verlag, 2006, ⟨10.1007/s10884-006-9014-5⟩. ⟨inria-00000920⟩



Record views


Files downloads