Results 21 to 30 of about 186,289 (275)
Koopman Operator Framework for Spectral Analysis and Identification of Infinite-Dimensional Systems
Mathematics, 2021 We consider the Koopman operator theory in the context of nonlinear infinite-dimensional systems, where the operator is defined over a space of bounded continuous functionals. The properties of the Koopman semigroup are described and a finite-dimensional
Alexandre Mauroy
doaj +1 more source
Measurement + Control, 2022 Omnidirectional mobile manipulators (OMMs) have been widely used due to their high mobility and operating flexibility. However, since OMMs are complex nonlinear systems with uncertainties, the dynamic modeling and control are always challenging problems.
Xuehong Zhu +3 more
doaj +1 more source
A quantitative analysis of Koopman operator methods for system identification and predictions
Comptes Rendus. Mécanique, 2022 We give convergence and cost estimates for a data-driven system identification method: given an unknown dynamical system, the aim is to recover its vector field and its flow from trajectory data.
Zhang, Christophe, Zuazua, Enrique
doaj +1 more source
Linear identification of nonlinear systems: A lifting technique based on the Koopman operator [PDF]
, 2016 We exploit the key idea that nonlinear system identification is equivalent to linear identification of the socalled Koopman operator. Instead of considering nonlinear system identification in the state space, we obtain a novel linear identification ...
Goncalves, Jorge, Mauroy, Alexandre
core +2 more sources
Engineering Science and Technology, an International Journal, 2018 The aim of this paper is to reveal the effectiveness of Adomian decomposition method (ADM) and differential transform method (DTM) on free vibrations of axial-loaded Timoshenko beams resting on viscoelastic foundation.
Baran Bozyigit +2 more
doaj +1 more source
Koopman Operator and its Approximations for Systems with Symmetries [PDF]
, 2019 Nonlinear dynamical systems with symmetries exhibit a rich variety of behaviors, including complex attractor-basin portraits and enhanced and suppressed bifurcations.
Crutchfield, James P. +4 more
core +3 more sources
Journal of Low Frequency Noise, Vibration and Active Control, 2018 Civil engineering structures in essence belong to time-varying and nonlinear structures and the resultant dynamic responses are usually nonstationary signals. A new method is proposed to extract instantaneous frequency of such nonstationary signals.
Jing-Liang Liu +4 more
doaj +1 more source
Infrastructures, 2022 Even though prefabricated steel Bailey bridges have been used for more than 80 years, limited studies of their structural features have been conducted, most of which do not consider their response in operational conditions.
Vasileios D. Papavasileiou +3 more
doaj +1 more source
Spectral proper orthogonal decomposition [PDF]
, 2015 The identification of coherent structures from experimental or numerical data is an essential task when conducting research in fluid dynamics. This typically involves the construction of an empirical mode base that appropriately captures the dominant ...
Oberleithner, Kilian +2 more
core +2 more sources
Data-driven model reduction and transfer operator approximation [PDF]
, 2017 In this review paper, we will present different data-driven dimension reduction techniques for dynamical systems that are based on transfer operator theory as well as methods to approximate transfer operators and their eigenvalues, eigenfunctions, and ...
Kevrekidis, Ioannis +6 more
core +2 more sources