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Topological versus Smooth Linearization of Control Systems

Abstract : This note deals with «Grobman-Hartman like» theorems for control systems (or in other words under-determined systems of ordinary differential equations- ). The main results (proved elsewhere) is that when a control system is topologically conjugate to a linear controllable one, then it is also «almost» differentiably conjugate. We focus on the meaning of this result, and on an open question resulting from it.
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https://hal.inria.fr/inria-00072395
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Submitted on : Wednesday, May 24, 2006 - 9:51:00 AM
Last modification on : Friday, February 4, 2022 - 3:07:57 AM
Long-term archiving on: : Sunday, April 4, 2010 - 11:05:42 PM

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  • HAL Id : inria-00072395, version 1

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Laurent Baratchart, Monique Chyba, Jean-Baptiste Pomet. Topological versus Smooth Linearization of Control Systems. RR-4224, INRIA. 2001. ⟨inria-00072395⟩

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