A model-free sampling method for basins of attraction using hybrid active learning (HAL)

DOI10.1016/j.cnsns.2022.106551zbMath1492.93080arXiv2003.10976OpenAlexW4225246356MaRDI QIDQ2672889

Samuel A. Moore, James D. Turner, Xue-She Wang, Brian P. Mann

Publication date: 13 June 2022

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.10976

zbMATH Keywords

nonlinear dynamicsmachine learningbasins of attractionactive learning

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Nonlinear systems in control theory (93C10)

Uses Software

• SMRSOFT
• k-means++

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Domain of attraction. Analysis and control via SOS programming.
• Estimating the domain of attraction for non-polynomial systems via LMI optimizations
• A subdivision algorithm for the computation of unstable manifolds and global attractors
• Estimating the domain of attraction for uncertain polynomial systems
• Maximal Lyapunov functions and domains of attraction for autonomous nonlinear systems
• Investigating the consequences of global bifurcations for two-dimensional invariant manifolds of vector fields
• Convex Computation of the Region of Attraction of Polynomial Control Systems
• Logical composition of Lyapunov functions
• Stability regions of nonlinear dynamical systems: a constructive methodology
• On the estimation of asymptotic stability regions: State of the art and new proposals
• Stability regions of nonlinear autonomous dynamical systems
• An Unravelling Algorithm for Global Analysis of Dynamical Systems: An Application of Cell-to-Cell Mappings
• A Generalized Theory of Cell-to-Cell Mapping for Nonlinear Dynamical Systems
• Two-dimensional global manifolds of vector fields
• Optimal Control for Polynomial Systems Using Matrix Sum of Squares Relaxations
• Computing Output Feedback Controllers to Enlarge the Domain of Attraction in Polynomial Systems
• A SURVEY OF METHODS FOR COMPUTING (UN)STABLE MANIFOLDS OF VECTOR FIELDS
• Characterization of Stability Region for General Autonomous Nonlinear Dynamical Systems
• Margin Based Active Learning

This page was built for publication: A model-free sampling method for basins of attraction using hybrid active learning (HAL)