Results 41 to 50 of about 13,618 (231)

Learning Koopman Operator under Dissipativity Constraints

IFAC-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.
Hara, Keita, Inoue, Masaki, Sebe, Noboru
openaire   +2 more sources

K-SMPC: Koopman Operator-Based Stochastic Model Predictive Control for Enhanced Lateral Control of Autonomous Vehicles

IEEE Access
This paper proposes Koopman operator-based Stochastic Model Predictive Control (K-SMPC) for enhanced lateral control of autonomous vehicles. The Koopman operator is a linear map representing the nonlinear dynamics in an infinite-dimensional space.
Jin Sung Kim, Ying Shuai Quan, Chung Choo Chung, Woo Young Choi   +3 more
doaj   +1 more source

On Convergence of Extended Dynamic Mode Decomposition to the Koopman Operator

, 2017
Extended Dynamic Mode Decomposition (EDMD) is an algorithm that approximates the action of the Koopman operator on an $N$-dimensional subspace of the space of observables by sampling at $M$ points in the state space.
Korda, Milan, Mezić, Igor
core   +1 more source

Decomposition of Nonlinear Dynamical Systems Using Koopman Gramians

, 2017
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 operator, and show how input-Koopman operators can be used to cast a ...
alvin, clevert, dullerud, fredrik, korda, korf, li, mung, nitish, proctor, yeung, yeung   +11 more
core   +1 more source

An Optimal Control Formulation of Pulse-Based Control Using Koopman Operator [PDF]

, 2018
In many applications, and in systems/synthetic biology, in particular, it is desirable to compute control policies that force the trajectory of a bistable system from one equilibrium (the initial point) to another equilibrium (the target point), or in ...
Ernst, Damien, Mauroy, Alexandre, Sootla, Aivar   +2 more
core   +3 more sources

Data-Driven Congestion Control of Micro Smart Sensor Networks for Transparent Substations

IEEE Access, 2021
Micro smart sensors and sensor networks are the key bases for building a fully visible, perceptible and controllable transparent substation in power grid.
Ke Zhou, Xiaoming Wang, Xiaoyin Qiu, Wenwei Li   +3 more
doaj   +1 more source

A Class of Logistic Functions for Approximating State-Inclusive Koopman Operators

, 2017
An outstanding challenge in nonlinear systems theory is identification or learning of a given nonlinear system's Koopman operator directly from data or models.
arbabi, budiši?, gardner, kutz, kutz, qianxiao, tu, yeung   +7 more
core   +1 more source

Halide‐Dependent Photoluminescence and Heavy‐Atom Effects in Low‐Melting Organic–Inorganic Manganese Halides

Advanced Functional Materials, EarlyView.
Two pyridinium‐based ionic liquid templated hybrid manganese halides, (C4Py)2[MnCl4] and (C4Py)2[MnBr4], display similar bulk structures but show significantly different photoluminescence behaviors due to the bromine heavy‐atom effect. Their stable local Mn environments remain intact even in the molten state, allowing applications such as luminescence ...
Biswajit Bhattacharyya, Christian Balischewski, Jiyong Kim, Tiago Duarte, Lianshe Fu, Rute A.S. Ferreira, Alkit Beqiraj, Iuliia Mikulska, Diego Gianolio, Eric Sperlich, Felix Stete, Wouter Koopman, Christina Günter, Katlen Brennenstuhl, Daniel Van Opdenbosch, Cordt Zollfrank, Armin Wedel, Beth J. Murray, Małgorzata Swadźba‐Kwaśny, Tillmann Klamroth, Michael U. Kumke, Verónica de Zea Bermudez, Andreas Taubert   +22 more
wiley   +1 more source

Weighted Frobenius-Perron operators and their spectra [PDF]

Mathematica Bohemica, 2017
First, some classic properties of a weighted Frobenius-Perron operator $\mathcal{P}_\varphi^u$ on $L^1(\Sigma)$ as a predual of weighted Koopman operator $W=uU_\varphi$ on $L^\infty(\Sigma)$ will be investigated using the language of the conditional ...
Mohammad Reza Jabbarzadeh, Rana Hajipouri   +1 more
doaj   +1 more source

Koopman operator-based model reduction for switched-system control of PDEs

, 2019
We present a new framework for optimal and feedback control of PDEs using Koopman operator-based reduced order models (K-ROMs). The Koopman operator is a linear but infinite-dimensional operator which describes the dynamics of observables.
Klus, Stefan, Peitz, Sebastian
core   +1 more source