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Applied Koopman operator theory for power systems technology

Applied Koopman operator theory for power systems technology
Koopman operator is a composition operator defined for a dynamical system described by nonlinear differential or difference equation. Although the original system is nonlinear and evolves on a finite-dimensional state space, the Koopman operator itself is linear but infinite-dimensional (evolves on a function space).
openaire  

A novel spatiotemporal decomposition and identification of sparse equations for human brain deformation. [PDF]

Sci Rep
Arani AHG, Alshareef AA, Pham DL, Okamoto RJ, Bayly PV.   +4 more
europepmc   +1 more source

Understanding Brain Functional Dynamics Through Neural Koopman Operator With Control Mechanism. [PDF]

IEEE Trans Med Imaging
Zhou Z, Dan T, Wu G.
europepmc   +1 more source

Sparse identification of nonlinear dynamics and Koopman operators with Shallow Recurrent Decoder Networks. [PDF]

Proc Natl Acad Sci U S A
Gao ML, Williams JP, Kutz JN.
europepmc   +1 more source

Global Linearized Sparse Prediction and Adaptive Dead Zone Compensation for a Piezoelectric Actuator. [PDF]

Micromachines (Basel)
Qi X, Zhao M, Zhang L, Fan L, Liu Z, Xu P, Tan Q.   +6 more
europepmc   +1 more source

An Operator Analysis on Stochastic Differential Equation (SDE)-Based Diffusion Generative Models. [PDF]

Entropy (Basel)
Wu Y, Kawahara Y.
europepmc   +1 more source

Linearizing and Forecasting: A Reservoir Computing Route to Digital Twins of the Brain. [PDF]

Adv Sci (Weinh)
Di Antonio G, Gili T, Gabrielli A, Mattia M.   +3 more
europepmc   +1 more source

Reparameterized multiobjective control of BCG immunotherapy. [PDF]

Sci Rep, 2023
Yue R, Dutta A.
europepmc   +1 more source

Finite-data Error Bounds for Approximating the Koopman Operator

The Koopman operator is a powerful tool for the study of dynamical systems that allows the study of nonlinear systems through the lens of observables functions forming an equivalent linear formulation of the dynamics in an infinite-dimensional space ...
Fassler, Daniel
core  

Exploratory application of DMD for particle deposition and fluid field in the respiratory tract. [PDF]

J Aerosol Sci
Graffigna MS, Bartol IR, Tano ME, Dewji SA.   +3 more
europepmc   +1 more source