542 citations
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Showing 2010 · math.DGShow all
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math.DG2010
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…
math.DG2010★ 21 cited
On the generalized Helmholtz conditions for Lagrangian systems with dissipative forces
M. Crampin, T. Mestdag, W. Sarlet
In two recent papers necessary and sufficient conditions for a given system of second-order ordinary differential equations to be of Lagrangian form with additional dissipative for…