Browsing Bergen Open Research Archive by Author "Schmeding, Alexander"

Now showing items 1-4 of 4

    • Continuity of Formal Power Series Products in Nonlinear Control Theory 

      Gray, W. Steven; Palmstrøm, Mathias; Schmeding, Alexander (Journal article; Peer reviewed, 2022)
      Formal power series products appear in nonlinear control theory when systems modeled by Chen–Fliess series are interconnected to form new systems. In fields like adaptive control and learning systems, the coefficients of ...

    • Extending Whitney's extension theorem: nonlinear function spaces 

      Roberts, David M.; Schmeding, Alexander (Journal article; Peer reviewed, 2021)
      We consider a global, nonlinear version of the Whitney extension problem for manifold-valued smooth functions on closed domains , with non-smooth boundary, in possibly non-compact manifolds. Assuming is a submanifold with ...

    • Geometric rough paths on infinite dimensional spaces 

      Grong, Erlend; Nilssen, Torstein; Schmeding, Alexander (Journal article; Peer reviewed, 2022)
      Similar to ordinary differential equations, rough paths and rough differential equations can be formulated in a Banach space setting. For α ∈ (1/3,1/2), we give criteria for when we can approximate Banach space-valued ...

    • Lie groupoids of mappings taking values in a Lie groupoid 

      Amiri, Habib; Glöckner, Helge; Schmeding, Alexander (Journal article; Peer reviewed, 2020)
      Endowing differentiable functions from a compact manifold to a Lie group with the pointwise group operations one obtains the so-called current groups and, as a special case, loop groups. These are prime examples of ...