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pro vyhledávání: '"Liñán, María Barbero"'
A new procedure to construct symplectic methods for constrained mechanical systems is developed in this paper. The definition of a map coming from the notion of retraction maps allows to adapt the continuous problem to the discretization rule rather
Externí odkaz:
http://arxiv.org/abs/2306.06786
Retractions maps are used to define a discretization of the tangent bundle of the configuration manifold as two copies of the configuration manifold where the dynamics take place. Such discretization maps can be conveniently lifted to a higher-order
Externí odkaz:
http://arxiv.org/abs/2303.17917
Retractions maps are used to define a discretization of the tangent bundle of the configuration manifold as two copies of the configuration manifold where the dynamics take place. Such discretization maps can be conveniently lifted to the cotangent b
Externí odkaz:
http://arxiv.org/abs/2203.00790
Publikováno v:
Found Comput Math (2022)
The classical notion of retraction map used to approximate geodesics is extended and rigorously defined to become a powerful tool to construct geometric integrators and it is called discretization map. Using the geometry of the tangent and cotangent
Externí odkaz:
http://arxiv.org/abs/2106.00607
We consider the localization problem between agents while they run a formation control algorithm. These algorithms typically demand from the agents the information about their relative positions with respect to their neighbors. We assume that this in
Externí odkaz:
http://arxiv.org/abs/1909.08914
Autor:
Liñán, María Barbero1 (AUTHOR) m.barbero@upm.es, Cendra, Hernán2 (AUTHOR) hcendra@gmail.com, Toraño, Eduardo García2 (AUTHOR) eduardo.garciatorano@uns.edu.ar, Diego, David Martín de3 (AUTHOR) david.martin@icmat.es
Publikováno v:
Journal of Geometric Mechanics. Dec2019, Vol. 11 Issue 4, p487-510. 24p.