29 citations · 97 across the 24 of their papers we have counts for
5 papers · 1 filter
A Class of Logistic Functions for Approximating State-Inclusive Koopman Operators
Charles A. Johnson, Enoch Yeung
An outstanding challenge in nonlinear systems theory is identification or learning of a given nonlinear system's Koopman operator directly from data or models. Advances in extended…
Solving differential equations with unknown constitutive relations as recurrent neural networks
Tobias Hagge, Panos Stinis, Enoch Yeung +1
We solve a system of ordinary differential equations with an unknown functional form of a sink (reaction rate) term. We assume that the measurements (time series) of state variable…
Decomposition of Nonlinear Dynamical Systems Using Koopman Gramians
Zhiyuan Liu, Soumya Kundu, Lijun Chen +1
In this paper we propose a new Koopman operator approach to the decomposition of nonlinear dynamical systems using Koopman Gramians. We introduce the notion of an input-Koopman ope…
A Koopman Operator Approach for Computing and Balancing Gramians for Discrete Time Nonlinear Systems
Enoch Yeung, Zhiyuan Liu, Nathan O. Hodas
In this paper, we consider the problem of quantifying controllability and observability of a nonlinear discrete time dynamical system. We introduce the Koopman operator as a canoni…
Learning Deep Neural Network Representations for Koopman Operators of Nonlinear Dynamical Systems
Enoch Yeung, Soumya Kundu, Nathan Hodas
The Koopman operator has recently garnered much attention for its value in dynamical systems analysis and data-driven model discovery. However, its application has been hindered by…