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Spectrum of the Koopman Operator, Spectral Expansions in Functional Spaces, and State-Space Geometry

Journal of nonlinear science, 2020-10, Vol.30 (5), p.2091-2145

Mezić, Igor

2020

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Linear predictors for nonlinear dynamical systems: Koopman operator meets model predictive control

Automatica (Oxford), 2018-07, Vol.93, p.149-160

2018

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Analysis of Fluid Flows via Spectral Properties of the Koopman Operator

Annual review of fluid mechanics, 2013-01, Vol.45 (1), p.357-378

Mezi, Igor

2013

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Ergodic Theory, Dynamic Mode Decomposition, and Computation of Spectral Properties of the Koopman Operator

SIAM journal on applied dynamical systems, 2017-01, Vol.16 (4), p.2096-2126

2017

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Global Stability Analysis Using the Eigenfunctions of the Koopman Operator

IEEE transactions on automatic control, 2016-11, Vol.61 (11), p.3356-3369

2016

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On Convergence of Extended Dynamic Mode Decomposition to the Koopman Operator

Journal of nonlinear science, 2018-04, Vol.28 (2), p.687-710

2018

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Optimal Construction of Koopman Eigenfunctions for Prediction and Control

IEEE transactions on automatic control, 2020-12, Vol.65 (12), p.5114-5129

2020

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IEEE_Xplore

Applied Koopmanism

Chaos (Woodbury, N.Y.), 2012-12, Vol.22 (4), p.047510-047510

2012

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On Numerical Approximations of the Koopman Operator

Mathematics (Basel), 2022-04, Vol.10 (7), p.1180

Mezić, Igor

2022

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Data-driven spectral analysis of the Koopman operator

Applied and computational harmonic analysis, 2020-03, Vol.48 (2), p.599-629

2020

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Building energy modeling: A systematic approach to zoning and model reduction using Koopman Mode Analysis

Energy and buildings, 2015-01, Vol.86, p.794-802

2015

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Linearization in the large of nonlinear systems and Koopman operator spectrum

Physica. D, 2013-01, Vol.242 (1), p.42-53

2013

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Exponentially decaying modes and long-term prediction of sea ice concentration using Koopman mode decomposition

Scientific reports, 2020-10, Vol.10 (1), p.16313-16313, Article 16313

2020

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Spectral analysis of nonlinear flows

Journal of fluid mechanics, 2009-12, Vol.641, p.115-127

2009

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Data Driven Modal Decompositions: Analysis and Enhancements

SIAM journal on scientific computing, 2018-01, Vol.40 (4), p.A2253-A2285

2018

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Koopman Operator Spectrum for Random Dynamical Systems

Journal of nonlinear science, 2020-10, Vol.30 (5), p.2007-2056

2020

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The Koopman Operator in Systems and Control: Concepts, Methodologies, and Applications

1st ed. 2020., 2020

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Convex Computation of Extremal Invariant Measures of Nonlinear Dynamical Systems and Markov Processes

Journal of nonlinear science, 2021, Vol.31 (1), Article 14

2021

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An agent-based model of urban insurgence: Effect of gathering sites and Koopman mode analysis

PloS one, 2018-10, Vol.13 (10), p.e0205259-e0205259

2018

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Metrics for ergodicity and design of ergodic dynamics for multi-agent systems

Physica. D, 2011-02, Vol.240 (4), p.432-442

2011

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A methodology for meta-model based optimization in building energy models

Energy and buildings, 2012-04, Vol.47, p.292-301

2012

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Geometry of the ergodic quotient reveals coherent structures in flows

Physica. D, 2012-08, Vol.241 (15), p.1255-1269

2012

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Spectral Properties of Pullback Operators on Vector Bundles of a Dynamical System

SIAM journal on applied dynamical systems, 2023-01, Vol.22 (4), p.3059-3092

2023

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Koopman Mode Analysis of agent-based models of logistics processes

PloS one, 2019-09, Vol.14 (9), p.e0222023-e0222023

2019

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Data Driven Koopman Spectral Analysis in Vandermonde--Cauchy Form via the DFT: Numerical Method and Theoretical Insights

SIAM journal on scientific computing, 2019-01, Vol.41 (5), p.A3118-A3151

2019

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Spectrum of the Koopman Operator, Spectral Expansions in Functional Spaces, and State-Space Geometry

Linear predictors for nonlinear dynamical systems: Koopman operator meets model predictive control

Analysis of Fluid Flows via Spectral Properties of the Koopman Operator

Ergodic Theory, Dynamic Mode Decomposition, and Computation of Spectral Properties of the Koopman Operator

Global Stability Analysis Using the Eigenfunctions of the Koopman Operator

On Convergence of Extended Dynamic Mode Decomposition to the Koopman Operator

Optimal Construction of Koopman Eigenfunctions for Prediction and Control

Applied Koopmanism

On Numerical Approximations of the Koopman Operator

Data-driven spectral analysis of the Koopman operator

Building energy modeling: A systematic approach to zoning and model reduction using Koopman Mode Analysis

Linearization in the large of nonlinear systems and Koopman operator spectrum

Exponentially decaying modes and long-term prediction of sea ice concentration using Koopman mode decomposition

Spectral analysis of nonlinear flows

Data Driven Modal Decompositions: Analysis and Enhancements

Koopman Operator Spectrum for Random Dynamical Systems

The Koopman Operator in Systems and Control: Concepts, Methodologies, and Applications

Convex Computation of Extremal Invariant Measures of Nonlinear Dynamical Systems and Markov Processes

An agent-based model of urban insurgence: Effect of gathering sites and Koopman mode analysis

Metrics for ergodicity and design of ergodic dynamics for multi-agent systems

A methodology for meta-model based optimization in building energy models

Geometry of the ergodic quotient reveals coherent structures in flows

Spectral Properties of Pullback Operators on Vector Bundles of a Dynamical System

Koopman Mode Analysis of agent-based models of logistics processes

Data Driven Koopman Spectral Analysis in Vandermonde--Cauchy Form via the DFT: Numerical Method and Theoretical Insights

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