Cover Image

Gramians for a New Class of Nonlinear Control Systems Using Koopman and a Novel Generalized SVD

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Brown, Brian, King, Michael
Format:	Preprint
Published:	2025
Subjects:	Optimization and Control Systems and Control
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

An SVD-like Decomposition of Bounded-Input Bounded-Output Functions
by: Brown, Brian Charles, et al.
Published: (2024)

On the Existence of Koopman Linear Embeddings for Controlled Nonlinear Systems
by: Shang, Xu, et al.
Published: (2026)

Connections Between Determinantal Point Processes and Gramians in Control
by: Kazma, Mohamad H., et al.
Published: (2026)

Spectral Decompositions of Controllability Gramian and Its Inverse based on System Eigenvalues in Companion Form
by: Iskakov, Alexey, et al.
Published: (2025)

Spectral Decomposition of Discrete-Time Controllability Gramian and Its Inverse via System Eigenvalues
by: Iskakov, Alexey
Published: (2026)

On Koopman Resolvents and Frequency Response of Nonlinear Systems
by: Susuki, Yoshihiko, et al.
Published: (2026)

Modeling Nonlinear Control Systems via Koopman Control Family: Universal Forms and Subspace Invariance Proximity
by: Haseli, Masih, et al.
Published: (2023)

Deep Koopman Iterative Learning and Stability-Guaranteed Control for Unknown Nonlinear Time-Varying Systems
by: Zhang, Hengde, et al.
Published: (2026)

Willems' Fundamental Lemma for Nonlinear Systems with Koopman Linear Embedding
by: Shang, Xu, et al.
Published: (2024)

Online Tracking with Predictions for Nonlinear Systems with Koopman Linear Embedding
by: Pai, Chih-Fan, et al.
Published: (2026)

Sensor Placement on a Cantilever Beam Using Observability Gramians
by: Brace, Natalie L., et al.
Published: (2025)

Scalable iterative Gramian synthesis for control-affine systems
by: Yu, Zongxi, et al.
Published: (2026)

A Simulation Preorder for Koopman-like Lifted Control Systems
by: Aspeel, Antoine, et al.
Published: (2024)

Offset-free Nonlinear MPC with Koopman-based Surrogate Models
by: Schimperna, Irene, et al.
Published: (2025)

Optimality Robustness in Koopman-Based Control
by: Lin, Yicheng, et al.
Published: (2026)

Koopman-Hopf Hamilton-Jacobi Reachability and Control
by: Sharpless, Will, et al.
Published: (2023)

Control Forward-Backward Consistency: Quantifying the Accuracy of Koopman Control Family Models
by: Haseli, Masih, et al.
Published: (2026)

Event-Triggered Parameterized Control of Nonlinear Systems
by: Rajan, Anusree, et al.
Published: (2024)

Dictionary-free Koopman Predictive Control for Autonomous Vehicles in Mixed Traffic
by: Shang, Xu, et al.
Published: (2025)

Estimation Sample Complexity of a Class of Nonlinear Continuous-time Systems
by: Kuang, Simon, et al.
Published: (2023)

Least-Squares Multi-Step Koopman Operator Learning for Model Predictive Control
by: Wu, Liang, et al.
Published: (2026)

Approximate Simulation-based Hierarchical Control of Nonlinear Systems
by: Niu, Zirui, et al.
Published: (2026)

Abstracting the Traffic of Nonlinear Event-Triggered Control Systems
by: Delimpaltadakis, Giannis, et al.
Published: (2020)

Stabilization of Nonlinear Systems through Control Barrier Functions
by: Mestres, Pol, et al.
Published: (2024)

Novel Stability Conditions for Nonlinear Monotone Systems and Consensus in Multi-Agent Networks
by: Deplano, Diego, et al.
Published: (2023)

Robust Nonlinear Optimal Control via System Level Synthesis
by: Leeman, Antoine P., et al.
Published: (2023)

A Versatile Framework for Data-Driven Control of Nonlinear Systems
by: Monshizadeh, Nima, et al.
Published: (2024)

Discrete Homogeneity and Quantizer Design for Nonlinear Homogeneous Control Systems
by: Zhou, Yu, et al.
Published: (2026)

Robust Control Lyapunov-Value Functions for Nonlinear Disturbed Systems
by: Gong, Zheng, et al.
Published: (2024)

Data-driven Nonlinear Model Reduction using Koopman Theory: Integrated Control Form and NMPC Case Study
by: Schulze, Jan C., et al.
Published: (2024)

A Data-Driven Prescribed-Time Control Framework via Koopman Operator and Adaptive Backstepping
by: Wu, Yue
Published: (2025)

Modeling Driver Behavior in Speed Advisory Systems: Koopman-based Approach with Online Update
by: Ozkan, Mehmet Fatih, et al.
Published: (2025)

Integrating Uncertainties for Koopman-Based Stabilization
by: Lin, Yicheng, et al.
Published: (2025)

Optimality Deviation using the Koopman Operator
by: Lin, Yicheng, et al.
Published: (2025)

Physics-informed Gaussian Processes for Model Predictive Control of Nonlinear Systems
by: Lepp, Adrian, et al.
Published: (2025)

An ANN-Enhanced Approach for Flatness-Based Constrained Control of Nonlinear Systems
by: Do, Huu-Thinh, et al.
Published: (2025)

Adaptive Economic Model Predictive Control: Performance Guarantees for Nonlinear Systems
by: Degner, Maximilian, et al.
Published: (2024)

Two Roads to Koopman Operator Theory for Control: Infinite Input Sequences and Operator Families
by: Haseli, Masih, et al.
Published: (2025)

Provably Safe Control for Constrained Nonlinear Systems with Bounded Input
by: Kumar, Saurabh, et al.
Published: (2025)

Control of Human-Induced Seismicity in Underground Reservoirs Governed by a Nonlinear 3D PDE-ODE System
by: Gutiérrez-Oribio, Diego, et al.
Published: (2024)