20 citations · 37 across the 13 of their papers we have counts for
9 papers · 1 filter
Learning Invariant Subspaces of Koopman Operators--Part 2: Heterogeneous Dictionary Mixing to Approximate Subspace Invariance
Charles A. Johnson, Shara Balakrishnan, Enoch Yeung
This work builds on the models and concepts presented in part 1 to learn approximate dictionary representations of Koopman operators from data. Part I of this paper presented a met…
Learning Invariant Subspaces of Koopman Operators--Part 1: A Methodology for Demonstrating a Dictionary's Approximate Subspace Invariance
Charles A. Johnson, Shara Balakrishnan, Enoch Yeung
Koopman operators model nonlinear dynamics as a linear dynamic system acting on a nonlinear function as the state. This nonstandard state is often called a Koopman observable and i…
Heterogeneous mixtures of dictionary functions to approximate subspace invariance in Koopman operators
Charles A. Johnson, Shara Balakrishnan, Enoch Yeung
Koopman operators model nonlinear dynamics as a linear dynamic system acting on a nonlinear function as the state. This nonstandard state is often called a Koopman observable and i…
Computationally Efficient Learning of Large Scale Dynamical Systems: A Koopman Theoretic Approach
Subhrajit Sinha, Sai Pushpak Nandanoori, Enoch Yeung
In recent years there has been a considerable drive towards data-driven analysis, discovery and control of dynamical systems. To this end, operator theoretic methods, namely, Koopm…
Data Driven Online Learning of Power System Dynamics
Subhrajit Sinha, Sai Pushpak Nandanoori, Enoch Yeung
With the advancement of sensing and communication in power networks, high-frequency real-time data from a power network can be used as a resource to develop better monitoring capab…
Information Transfer in Dynamical Systems and Optimal Placement of Actuators and Sensors for Control of Non-equilibrium Dynamics
Subhrajit Sinha, Umesh Vaidya, Enoch Yeung
In this paper we develop the concept of information transfer between the Borel-measurable sets for a dynamical system described by a measurable space and a non-singular transformat…