A generalization of flatness to nonlinear systems of partial differential equations. Application to the command of a flexible rod
Ollivier, Francois ; Sedoglavic, Alexandre
HAL, inria-00126994 / Harvested from HAL
Text on HAL
We introduce a concept of differential flatness for systems described by nonlinear partial differential equations. It generalizes the now classical notion of differential flatness for finite differential systems and its recent extensions to linear partial differential equations. We apply it to the motion planning of a very flexible rod, out of the linear approximation range.
Publié le : 2001-07-04
Classification:  [INFO.INFO-SC]Computer Science [cs]/Symbolic Computation [cs.SC],  [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC] 
@article{inria-00126994,
     author = {Ollivier, Francois and Sedoglavic, Alexandre},
     title = {A generalization of flatness to nonlinear systems of partial differential equations. Application to the command of a flexible rod},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/inria-00126994}
}

Ollivier, Francois; Sedoglavic, Alexandre. A generalization of flatness to nonlinear systems of partial differential equations. Application to the command of a flexible rod. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/inria-00126994/