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| HAL: inria-00000040, version 1 |
| arXiv: math.OC/0505443 |
| See detailed view |  BibTeX,EndNote,... |
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| ESAIM. Contrôle, optimisation et calcul des variations (2005) |
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| Available versions | v1 (2005-05-21) | v2 (2005-12-02) |
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| Flatness and Monge parameterization of two-input systems, control-affine with 4 states or general with 3 states |
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| David Avanessoff 1Jean-Baptiste Pomet 1 |
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| (2005-04-21) |
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| This paper studies Monge parameterization, or differential flatness, of control-affine systems with four states and twocontrols. Some of them are known to be flat, and this implies admitting a Monge parameterization. Focusing on systems outside this class, we describe the only possible structure of such a parameterization for these systems, and give a lower bound on the order of this parameterization, if it exists. This lower-bound is good enough to recover the known results about "(x,u)-flatness" of these systems, with much more elementary techniques. |
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| 1: | APICS (INRIA Sophia Antipolis) |
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INRIA |
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| Domain | : | Mathematics/Optimization and Control |
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| inria-00000040, version 1 | |
| http://hal.inria.fr/inria-00000040 | |
| oai:hal.inria.fr:inria-00000040 | |
| From: Jean-Baptiste Pomet | |
| Submitted on: Friday, 20 May 2005 20:44:47 | |
| Updated on: Monday, 23 May 2005 16:17:52 | |
