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math.NA2021
Sparse system identification by low-rank approximation
Fredy Vides
In this document, some general results in approximation theory and matrix analysis with applications to sparse identification of time series models and nonlinear discrete-time dyna…
math.NA2020
Computing Floquet Hamiltonians with Symmetries
Terry Loring, Fredy Vides
Unitary matrices arise in many ways in physics, in particular as a time evolution operator. For a periodically driven system one frequently wishes to compute a Floquet Hamilonian t…
math.NA2020
Universal Algebraic Controllers and System Identification
Fredy Vides
In this document, some structured operator approximation theoretical methods for system identification of nearly eventually periodic systems, are presented. Let $\mathbb{C}^{n\time…