Results 91 to 100 of about 472,452 (242)
Nonparametric Control Koopman Operators [PDF]
IEEE Transactions on Automatic ControlThis 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
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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.
Keita Hara, Masaki Inoue, Noboru Sebe
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On Computation of Koopman Operator from Sparse Data [PDF]
2019 American Control Conference (ACC), 2019 In this paper, we propose a novel approach to compute the Koopman operator from sparse time series data. In recent years there have been considerable interests in operator theoretic methods for data-driven analysis of dynamical systems. Existing techniques for the approximation of the Koopman operator require sufficiently large data sets, but in many ...
Subhrajit Sinha +2 more
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Boundedness of Composition Operators in Orlicz–Morrey Spaces
Mathematische Nachrichten, EarlyView.ABSTRACT In this paper, we investigate the necessary and sufficient conditions for the boundedness of composition operators on Orlicz–Morrey spaces. Our results encompass Lebesgue and generalized Morrey spaces as special cases. In addition, we characterize the boundedness of composition operators on weak Orlicz–Morrey spaces, which include the Orlicz ...
Masahiro Ikeda +2 more
wiley +1 more source
Uncertainty Quantification of Autoencoder-Based Koopman Operator
2024 American Control Conference (ACC)6 pages, 3 ...
Jin Sung Kim +2 more
openaire +3 more sources
, 2023 的动态演化规律PM2.5并准确预测，对于公共卫生管理和预警决策活动的实施具有重要意义。本研究利用Koopman算子的谱特性来解释复数PM2.5的内在演化规律并利用深度学习实现从非线性状态空间到Koopman不变子空间的映射，以考虑直线距离PM2.5关系状态空间转换期间的站点。本研究揭示了PM2.5不同尺度上呈现出时空变化规律，对本文具有重要意义。该研究还阐明PM2.5 复杂非线性动力系统解释性质。
yuhan y (17665941)
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International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT This paper presents a Physics‐Informed Koopman Operator (PIKO) framework integrated with a discrete‐time Sequential Action Control (SAC) for real‐time, decentralized control of a modular aerial parcel delivery robot composed of multiple independently actuated propeller modules.
Archit Krishna Kamath +2 more
wiley +1 more source
Koopman Explicit Model Following Control Framework for a Robotic Manipulator
IEEE AccessRobotic 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 Feature Maps of the Koopman Operator: A Subspace Viewpoint [PDF]
The Koopman operator was recently shown to be a useful method for nonlinear system identification and controller design. However, the scalability of current data-driven approaches is limited by the selection of feature maps.
Jones, Colin, Lian, Yingzhao
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Naval Research Logistics (NRL), EarlyView.ABSTRACT This paper addresses two‐dimensional orthogonal packing within a confined space, integrating bin packing principles with facility layout concepts to address scenarios in which items must not only fit but also be arranged according to spatial priorities.
William K. Kirschenman +4 more
wiley +1 more source