On the Approximability of Koopman-Based Operator Lyapunov Equations

Modern Koopman Theory for Dynamical Systems

(2022) Steven L. Brunton et al.   SIAM REVIEW

Decay of singular values for infinite-dimensional systems with Gevrey regularity

(2020) Mark R. Opmeer   SYSTEMS & CONTROL LETTERS

Data-driven approximation of the Koopman generator: Model reduction, system identification, and control

(2020) Stefan Klus et al.   PHYSICA D-NONLINEAR PHENOMENA

Global Stability Analysis Using the Eigenfunctions of the Koopman Operator

(2016) Alexandre Mauroy et al.   IEEE TRANSACTIONS ON AUTOMATIC CONTROL

Computational Methods for Linear Matrix Equations

(2016) V. Simoncini   SIAM REVIEW

On the eigenvalue decay of solutions to operator Lyapunov equations

(2014) Luka Grubišić et al.   SYSTEMS & CONTROL LETTERS

Finite-Rank ADI Iteration for Operator Lyapunov Equations

(2013) Mark R. Opmeer et al.   SIAM JOURNAL ON CONTROL AND OPTIMIZATION

Estimating Long-Term Behavior of Flows without Trajectory Integration: The Infinitesimal Generator Approach

(2013) Gary Froyland et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Applied Koopmanism

(2012) Marko Budišić et al.   CHAOS

Decay of Hankel singular values of analytic control systems

(2010) Mark R. Opmeer   SYSTEMS & CONTROL LETTERS

Numerical solution of large-scale Lyapunov equations, Riccati equations, and linear-quadratic optimal control problems

(2008) Peter Benner et al.   NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS