48 citations · 192 across the 20 of their papers we have counts for
4 papers · 1 filter
Implicit Lagrange-Routh Equations and Dirac Reduction
Eduardo García-Toraño Andrés, Tom Mestdag, Hiroaki Yoshimura
In this paper, we make a generalization of Routh's reduction method for Lagrangian systems with symmetry to the case where not any regularity condition is imposed on the Lagrangian…
Dirac Structures in Vakonomic Mechanics
Fernando Jiménez, Hiroaki Yoshimura
In this paper, we explore dynamics of the nonholonomic system called vakonomic mechanics in the context of Lagrange-Dirac dynamical systems using a Dirac structure and its associat…
On the Geometry of Multi-Dirac Structures and Gerstenhaber Algebras
Joris Vankerschaver, Hiroaki Yoshimura, Melvin Leok
In a companion paper, we introduced a notion of multi-Dirac structures, a graded version of Dirac structures, and we discussed their relevance for classical field theories. In the…
Stokes-Dirac Structures through Reduction of Infinite-Dimensional Dirac Structures
Joris Vankerschaver, Hiroaki Yoshimura, Melvin Leok +1
We consider the concept of Stokes-Dirac structures in boundary control theory proposed by van der Schaft and Maschke. We introduce Poisson reduction in this context and show how St…