Results 31 to 40 of about 1,063,107 (310)
Koopman Operators and the $3x+1$-Dynamical System [PDF]
SIAM Journal on Applied Dynamical Systems, 2021 The $3x+1$-problem (or Collatz problem) is a notorious conjecture in arithmetic. It can be viewed as iterating a map and, therefore, it is a dynamical system on the discrete space $\mathbb{N}$ of natural numbers. The emerging dynamical system is studied in the present work with methods from the theory of Koopman operators and $C^*$-algebras.
John Leventides, Costas Poulios
openaire +3 more sources
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
Robust Approximation of the Stochastic Koopman Operator
SIAM Journal on Applied Dynamical Systems, 2022 20 pages, six ...
Mathias Wanner, Igor Mezić
openaire +2 more sources
Is the Finite-Time Lyapunov Exponent Field a Koopman Eigenfunction?
Mathematics, 2021 This work serves as a bridge between two approaches to analysis of dynamical systems: the local, geometric analysis, and the global operator theoretic Koopman analysis. We explicitly construct vector fields where the instantaneous Lyapunov exponent field
Erik M. Bollt, Shane D. Ross
doaj +1 more source
A note on quasi-similarity of Koopman operators [PDF]
Journal of the London Mathematical Society, 2010 15 ...
Krzysztof Frączek, Mariusz Lemańczyk
openaire +3 more sources
On the Utility of Koopman Operator Theory in Learning Dexterous Manipulation Skills [PDF]
Conference on Robot Learning, 2023 Despite impressive dexterous manipulation capabilities enabled by learning-based approaches, we are yet to witness widespread adoption beyond well-resourced laboratories.
Yunhai Han +3 more
semanticscholar +1 more source
Feedback Stabilization Using Koopman Operator [PDF]
2018 IEEE Conference on Decision and Control (CDC), 2018 Accepted for IEEE Conference on Decision and Control(CDC ...
Umesh Vaidya, Bowen Huang, Xu Ma
openaire +3 more sources
Koopman operator dynamical models: Learning, analysis and control [PDF]
Annual Reviews in Control, 2021 This is an authors' version of the work that is published in Annual Reviews in Control journal.
Bevanda, Petar +2 more
openaire +4 more sources
Sparsity structures for Koopman operators
, 2021 We present a decomposition of the Koopman operator based on the sparse structure of the underlying dynamical system, allowing one to consider the system as a family of subsystems interconnected by a graph. Using the intrinsic properties of the Koopman operator, we show that eigenfunctions for the subsystems induce eigenfunctions for the whole system ...
Schlosser, Corbinian, Korda, Milan
openaire +2 more sources
Measurement + Control, 2022 The dynamic modeling and control of omni-directional mobile manipulators (OMM) are challenging since they are highly nonlinear, strongly coupled, and multi-input multi-output uncertainty systems.
Xuehong Zhu +5 more
doaj +1 more source