Koopman Operator for Stability Analysis: Theory with a Linear--Radial Product Reproducing Kernel
Fuente:
arXiv
Saved in:
| Main Authors: | Tang, Wentao, Ye, Xiuzhen |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Koopman-based Estimation of Lyapunov Functions: Theory on a Reproducing Kernel Hilbert Space
by: Tang, Wentao, et al.
Published: (2026)
by: Tang, Wentao, et al.
Published: (2026)
Dissipativity Analysis of Nonlinear Systems: A Linear--Radial Kernel-based Approach
by: Ye, Xiuzhen, et al.
Published: (2026)
by: Ye, Xiuzhen, et al.
Published: (2026)
Koopman Operator in the Weighted Function Spaces and its Learning for the Estimation of Lyapunov and Zubov Functions
by: Tang, Wentao
Published: (2024)
by: Tang, Wentao
Published: (2024)
Technical Report for Dissipativity Learning in Reproducing Kernel Hilbert Space
by: Ye, Xiuzhen, et al.
Published: (2025)
by: Ye, Xiuzhen, et al.
Published: (2025)
Two Roads to Koopman Operator Theory for Control: Infinite Input Sequences and Operator Families
by: Haseli, Masih, et al.
Published: (2025)
by: Haseli, Masih, et al.
Published: (2025)
Koopman Kernel Regression
by: Bevanda, Petar, et al.
Published: (2023)
by: Bevanda, Petar, et al.
Published: (2023)
Global Linearization of Parameterized Nonlinear Systems with Stable Equilibrium Point Using the Koopman Operator
by: Katayama, Natsuki, et al.
Published: (2026)
by: Katayama, Natsuki, et al.
Published: (2026)
Koopman Operators for Global Analysis of Hybrid Limit-Cycling Systems: Construction and Spectral Properties
by: Katayama, Natsuki, et al.
Published: (2024)
by: Katayama, Natsuki, et al.
Published: (2024)
On Data-Driven Unbiased Predictors using the Koopman Operator
by: Schurig, Roland, et al.
Published: (2026)
by: Schurig, Roland, et al.
Published: (2026)
Participation Factors for Nonlinear Autonomous Dynamical Systems in the Koopman Operator Framework
by: Takamichi, Kenji, et al.
Published: (2024)
by: Takamichi, Kenji, et al.
Published: (2024)
Koopman-Nemytskii Operator: A Linear Representation of Nonlinear Controlled Systems
by: Tang, Wentao
Published: (2025)
by: Tang, Wentao
Published: (2025)
Closed-Loop Koopman Operator Approximation
by: Dahdah, Steven, et al.
Published: (2023)
by: Dahdah, Steven, et al.
Published: (2023)
Enhanced Koopman Operator Approximation for Nonlinear Systems Using Broading Learning System
by: Sun, Yangjun, et al.
Published: (2025)
by: Sun, Yangjun, et al.
Published: (2025)
Koopman Operator Framework for Modeling and Control of Off-Road Vehicle on Deformable Terrain
by: Loya, Kartik, et al.
Published: (2026)
by: Loya, Kartik, et al.
Published: (2026)
Uncertainty Modelling and Robust Observer Synthesis using the Koopman Operator
by: Dahdah, Steven, et al.
Published: (2024)
by: Dahdah, Steven, et al.
Published: (2024)
Learning Koopman-based Stability Certificates for Unknown Nonlinear Systems
by: Zhou, Ruikun, et al.
Published: (2024)
by: Zhou, Ruikun, et al.
Published: (2024)
Koopman Spectral Analysis from Noisy Measurements based on Bayesian Learning and Kalman Smoothing
by: Zeng, Zhexuan, et al.
Published: (2024)
by: Zeng, Zhexuan, et al.
Published: (2024)
Learning Spatio-Temporal Dynamics via Operator-Valued RKHS and Kernel Koopman Methods
by: Withanachchi, Mahishanka
Published: (2025)
by: Withanachchi, Mahishanka
Published: (2025)
Time Scale Separation and Hierarchical Control with the Koopman Operator
by: Bakker, Craig
Published: (2025)
by: Bakker, Craig
Published: (2025)
Multi-Agent, Multi-Scale Systems with the Koopman Operator
by: Bakker, Craig
Published: (2025)
by: Bakker, Craig
Published: (2025)
Koopman Generator Decomposition for Port-Hamiltonian System
by: Preciado, Victor M.
Published: (2026)
by: Preciado, Victor M.
Published: (2026)
Process Resilience under Optimal Data Injection Attacks
by: Ye, Xiuzhen, et al.
Published: (2025)
by: Ye, Xiuzhen, et al.
Published: (2025)
EDMD-Based Robust Observer Synthesis for Nonlinear Systems
by: Ye, Xiuzhen, et al.
Published: (2025)
by: Ye, Xiuzhen, et al.
Published: (2025)
Decrypting Nonlinearity: Koopman Interpretation and Analysis of Cryptosystems
by: Strässer, Robin, et al.
Published: (2023)
by: Strässer, Robin, et al.
Published: (2023)
On Koopman Resolvents and Frequency Response of Nonlinear Systems
by: Susuki, Yoshihiko, et al.
Published: (2026)
by: Susuki, Yoshihiko, et al.
Published: (2026)
Extensions of the Path-integral formula for computation of Koopman eigenfunctions
by: Deka, Shankar A., et al.
Published: (2024)
by: Deka, Shankar A., et al.
Published: (2024)
Modularized data-driven approximation of the Koopman operator and generator
by: Guo, Yang, et al.
Published: (2024)
by: Guo, Yang, et al.
Published: (2024)
Time-to-reach Bounds for Verification of Dynamical Systems Using the Koopman Spectrum
by: Ding, Jianqiang, et al.
Published: (2024)
by: Ding, Jianqiang, et al.
Published: (2024)
Estimating unknown dynamics and cost as a bilinear system with Koopman-based Inverse Optimal Control
by: Fernandez-Ayala, Victor Nan, et al.
Published: (2025)
by: Fernandez-Ayala, Victor Nan, et al.
Published: (2025)
Properties of Immersions for Systems with Multiple Limit Sets with Implications to Learning Koopman Embeddings
by: Liu, Zexiang, et al.
Published: (2023)
by: Liu, Zexiang, et al.
Published: (2023)
Stability Analysis of Compartmental and Cooperative Systems
by: Wiersdalen, Sondre, et al.
Published: (2023)
by: Wiersdalen, Sondre, et al.
Published: (2023)
Invariance Proximity: Closed-Form Error Bounds for Finite-Dimensional Koopman-Based Models
by: Haseli, Masih, et al.
Published: (2023)
by: Haseli, Masih, et al.
Published: (2023)
Data-driven Nonlinear Model Reduction using Koopman Theory: Integrated Control Form and NMPC Case Study
by: Schulze, Jan C., et al.
Published: (2024)
by: Schulze, Jan C., et al.
Published: (2024)
Maximum-likelihood reprojections for reliable Koopman-based predictions and bifurcation analysis of parametric dynamical systems
by: van Goor, Pieter, et al.
Published: (2025)
by: van Goor, Pieter, et al.
Published: (2025)
Observer-Based Stabilization for Linear Multi-Agent Dynamical Systems Using Generalized Frequency Variables
by: Tran, G. Q. Bao, et al.
Published: (2026)
by: Tran, G. Q. Bao, et al.
Published: (2026)
Optimizing AUV speed dynamics with a data-driven Koopman operator approach
by: Liu, Zhiliang, et al.
Published: (2025)
by: Liu, Zhiliang, et al.
Published: (2025)
Time-Dependent Low-Rank Input-Output Operator for Forced Linearized Dynamics with Unsteady Base Flows
by: Amiri-Margavi, Alireza, et al.
Published: (2023)
by: Amiri-Margavi, Alireza, et al.
Published: (2023)
Efficient Optimal Path Planning in Dynamic Environments Using Koopman MPC
by: Abtahi, Mohammad, et al.
Published: (2025)
by: Abtahi, Mohammad, et al.
Published: (2025)
Kernel Methods for Stochastic Dynamical Systems with Application to Koopman Eigenfunctions: Feynman-Kac Representations and RKHS Approximation
by: Hamzi, Boumediene, et al.
Published: (2026)
by: Hamzi, Boumediene, et al.
Published: (2026)
Online Actuator Selection and Controller Design for Linear Quadratic Regulation with Unknown System Model
by: Ye, Lintao, et al.
Published: (2022)
by: Ye, Lintao, et al.
Published: (2022)
Similar Items
-
Koopman-based Estimation of Lyapunov Functions: Theory on a Reproducing Kernel Hilbert Space
by: Tang, Wentao, et al.
Published: (2026) -
Dissipativity Analysis of Nonlinear Systems: A Linear--Radial Kernel-based Approach
by: Ye, Xiuzhen, et al.
Published: (2026) -
Koopman Operator in the Weighted Function Spaces and its Learning for the Estimation of Lyapunov and Zubov Functions
by: Tang, Wentao
Published: (2024) -
Technical Report for Dissipativity Learning in Reproducing Kernel Hilbert Space
by: Ye, Xiuzhen, et al.
Published: (2025) -
Two Roads to Koopman Operator Theory for Control: Infinite Input Sequences and Operator Families
by: Haseli, Masih, et al.
Published: (2025)