16 citations · 69 across the 19 of their papers we have counts for
8 papers · 1 filter
Nonlinear feedback, double bracket dissipation and port control of Lie-Poisson systems
Simon Hochgerner
Methods from controlled Lagrangians, double bracket dissipation and interconnection and damping assignment -- passivity based control (IDA-PBC) are used to construct nonlinear feed…
Symmetry actuated closed-loop Hamiltonian systems
Simon Hochgerner
This paper extends the theory of controlled Hamiltonian systems with symmetries due to [9, 10, 6, 7, 11] to the case of non-abelian symmetry groups . The notion of symmetry actu…
Feedback control of charged ideal fluids
Simon Hochgerner
The theory of controlled mechanical systems of [6, 3, 4] is extended to the case of ideal incompressible fluids consisting of charged particles in the presence of an external magne…
A Hamiltonian Mean-Field System for the Navier-Stokes Equation
Simon Hochgerner
We use a Hamiltonian interacting particle system to derive a stochastic mean field system whose McKean-Vlasov equation yields the incompressible Navier Stokes equation. Since the s…
Stochastic mean-field approach to fluid dynamics
Simon Hochgerner
It is shown that the incompressible Navier-Stokes equation can be derived from an infinite dimensional mean-field stochastic differential equation.
Geometry of non-holonomic diffusion
Simon Hochgerner, Tudor S. Ratiu
We study stochastically perturbed non-holonomic systems from a geometric point of view. In this setting, it turns out that the probabilistic properties of the perturbed system are…