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20122026
most citedLinear predictors for nonlinear dynamical systems: Koopman operator meets model predictive control

1.2k citations · 1.8k across the 38 of their papers we have counts for

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math.DS2026

Lyapunov stability of polynomial vector fields is undecidable

Milan Korda

We show that there are integers and odd such that no algorithm can decide, from the rational coefficients of a homogeneous polynomial vector field in dimension of d…

math.DS2021★ 2 cited

Clarifying the effect of mean subtraction on Dynamic Mode Decomposition

Gowtham S Seenivasaharagavan, Milan Korda, Hassan Arbabi +1

Any autonomous nonlinear dynamical system can be viewed as a superposition of infinitely many linear processes, through the so-called Koopman mode decomposition. Its data-driven ap…

math.DS2017

Data-driven spectral analysis of the Koopman operator

Milan Korda, Mihai Putinar, Igor Mezić

Starting from measured data, we develop a method to compute the fine structure of the spectrum of the Koopman operator with rigorous convergence guarantees. The method is based on…