Showing math.OCShow all
3 papers · 1 filter
math.OC2026
Koopman operator learning for predictive control via Khatri-Rao kernel regression
Mircea Lazar
This paper develops a data-driven realization of the generalized Koopman operator (GeKo), in which states and inputs are lifted independently and the dynamics are expressed as a te…
math.OC2026
From Product Hilbert Spaces to the Generalized Koopman Operator and the Nonlinear Fundamental Lemma
Mircea Lazar
The generalization of the Koopman operator to systems with control input and the derivation of a nonlinear fundamental lemma are two open problems that play a key role in the devel…
math.OC2024
A universal reproducing kernel Hilbert space for learning nonlinear systems operators
Mircea Lazar
In this work, we consider the problem of learning nonlinear operators that correspond to discrete-time nonlinear dynamical systems with inputs. Given an initial state and a finite…