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math.PR2023
The Ebin-Marsden toolbox for stochastic PDEs: stochastic Euler equations
Zdzisław Brzeźniak, Mario Maurelli, Alexander Schmeding
The Ebin-Marsden theory is a powerful geometric framework for many PDEs from fluid dynamics. In this paper we provide a toolbox to apply the Ebin-Marsden approach to stochastic PDE…
eess.SY2023★ 1 cited
Decompositions of Nonlinear Input-Output Systems to Zero the Output
W. Steven Gray, Kurusch Ebrahimi-Fard, Alexander Schmeding
Consider an input-output system where the output is the tracking error given some desired reference signal. It is natural to consider under what conditions the problem has an exact…