Results 71 to 80 of about 1,745 (187)

Data-Driven Nonlinear Stabilization Using Koopman Operator

open access: yes, 2019
We propose the application of Koopman operator theory for the design of stabilizing feedback controller for a nonlinear control system. The proposed approach is data-driven and relies on the use of time-series data generated from the control dynamical ...
Umesh Vaidya   +5 more
core   +1 more source

Koopman Explicit Model Following Control Framework for a Robotic Manipulator

open access: yesIEEE Access
Robotic manipulators have nonlinear and coupled dynamics, and this situation makes accurate modeling and control difficult under parameter uncertainties and external effects.
Oguz Kaan Hancioglu, Mehmet Onder Efe
doaj   +1 more source

Learning Koopman Operator under Dissipativity Constraints

open access: yesIFAC-PapersOnLine, 2020
This paper addresses a learning problem for nonlinear dynamical systems with incorporating any specified dissipativity property. The nonlinear systems are described by the Koopman operator, which is a linear operator defined on the infinite-dimensional lifted state space.
Keita Hara, Masaki Inoue, Noboru Sebe
openaire   +2 more sources

Collision avoidance maneuver design in cislunar space using Koopman operator theory [PDF]

open access: yes
LAUREA MAGISTRALEL’aumento delle attività spaziali nelle orbite geocentriche ha lasciato una scia di detriti spaziali, rappresentando una crescente minaccia per le missioni spaziali attuali e future.
FIORILLO, SIMONE
core  

Quantum machine learning optimization using Koopman operator technique

open access: yes
Quantum machine learning (QML) is a nascent field showing great potential in addressing complex problems. QML algorithms aim to combine the qubit’s properties, like entanglement, interference, and superposition, to perform better than any classical ...
Siddharth Kalra   +2 more
core   +1 more source

Koopman Operator, Geometry, and Learning

open access: yes, 2020
We provide a framework for learning of dynamical systems rooted in the concept of representations and Koopman operators. The interplay between the two leads to the full description of systems that can be represented linearly in a finite dimension, based on the properties of the Koopman operator spectrum.
openaire   +2 more sources

From Block-Oriented Models to the Koopman Operator: A Comprehensive Review on Data-Driven Chemical Reactor Modeling

open access: yesMathematics
Some chemical reactors exhibit coupled dynamics with multiple equilibrium points and strong nonlinearities. The accurate modeling of these dynamics is crucial to optimal control and increasing the reactor’s economic performance. While neural networks can
Mustapha Kamel Khaldi   +5 more
doaj   +1 more source

Two methods to approximate the Koopman operator with a reservoir computer [PDF]

open access: yes, 2020
The Koopman operator provides a powerful framework for data-driven analysis of dynamical systems. In the last few years, a wealth of numerical methods providing finite-dimensional approximations of the operator have been proposed [e.g., extended dynamic ...
MAUROY, ALEXANDRE; id_orcid   +3 more
core   +1 more source

Introduction to the Koopman operator in Systems and Control

open access: yes, 2018
The Koopman operator is a linear, infinite-dimensional operator defined for a nonlinear dynamical system. Through this linear operator, we can exploit established linear techniques (e.g.
Mauroy, Alexandre; id_orcid   +1 more
core  

Nonparametric Control Koopman Operators [PDF]

open access: yes
This paper presents a novel Koopman composition operator representation framework for control systems in reproducing kernel Hilbert spaces (RKHSs) that is free of explicit dictionary or input parametrizations. By establishing fundamental equivalences between different model representations, we are able to close the gap of control system operator ...
Bevanda, Petar   +5 more
openaire   +2 more sources

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