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math.OC2023★ 4 cited
Invariance Proximity: Closed-Form Error Bounds for Finite-Dimensional Koopman-Based Models
Masih Haseli, Jorge Cortés
A popular way to approximate the Koopman operator's action on a finite-dimensional subspace of functions is via orthogonal projections. The quality of the projected model directly…
math.OC2023★ 1 cited
Modeling Nonlinear Control Systems via Koopman Control Family: Universal Forms and Subspace Invariance Proximity
Masih Haseli, Jorge Cortés
This paper introduces the Koopman Control Family (KCF), a mathematical framework for modeling general (not necessarily control-affine) discrete-time nonlinear control systems with…