4 papers
Subspace Pruning via Principal Vectors for Accurate Koopman-Based Approximations
Dhruv Shah, Jorge Cortés
The accuracy of Koopman operator approximations over finite-dimensional spaces relies critically on their invariance properties. These can be rigorously quantified via the principa…
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…
Anytime Solvers for Variational Inequalities: the (Recursive) Safe Monotone Flows
Ahmed Allibhoy, Jorge Cortés
This paper synthesizes anytime algorithms, in the form of continuous-time dynamical systems, to solve monotone variational inequalities. We introduce three algorithms that solve th…
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…