Carleman linearization of nonlinear systems and its finite-section approximations

DOI10.3934/DCDSB.2024102MaRDI QIDQ6642456

Cong Zheng, Qiyu Sun, Nader Motee, Arash A. Amini

Publication date: 24 November 2024

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

zbMATH Keywords

exponential convergenceCarleman linearizationVan der Pol oscillatorfinite-section approximation

Mathematics Subject Classification ID

Control problems involving ordinary differential equations (34H05) Approximation methods and numerical treatment of dynamical systems (37M99) Numerical problems in dynamical systems (65P99)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• The early days of geometric nonlinear control
• Nonlinear control systems: An introduction
• Non-linear autonomous systems of differential equations and Carleman linearization procedure
• Polynomial control on stability, inversion and powers of matrices on simple graphs
• Towards a Taylor-Carleman bilinearization approach for the design of nonlinear state-feedback controllers
• Reachability of weakly nonlinear systems using Carleman linearization
• Sparsity and Spatial Localization Measures for Spatially Distributed Systems
• Symmetry and inverse-closedness of matrix algebras and functional calculus for infinite matrices
• Wiener’s lemma for infinite matrices
• Bilinear and Nonlinear Realizations of Input-Output Maps
• Estimating the domain of attraction of nonlinear feedback systems
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• Moment propagation of polynomial systems through Carleman linearization for probabilistic safety analysis
• Error bounds for Carleman linearization of general nonlinear systems

This page was built for publication: Carleman linearization of nonlinear systems and its finite-section approximations

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6642456)