Grid refinement in the construction of Lyapunov functions using radial basis functions

DOI10.3934/dcdsb.2015.20.2453zbMath1366.37147OpenAlexW2202293167MaRDI QIDQ258399

Najla Mohammed, Peter Giesl

Publication date: 10 March 2016

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

Full work available at URL: https://doi.org/10.3934/dcdsb.2015.20.2453

zbMATH Keywords

Lyapunov functiondomain of attractionVoronoi diagramradial basis functionmesh-free collocation

Mathematics Subject Classification ID

Input-output approaches in control theory (93D25) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Approximation methods and numerical treatment of dynamical systems (37M99)

Related Items (5)

Computation and Verification of Lyapunov Functions ⋮ Modified refinement algorithm to construct Lyapunov functions using meshless collocation ⋮ Low-rank kernel approximation of Lyapunov functions using neural networks ⋮ Computation and verification of contraction metrics for exponentially stable equilibria ⋮ Review on computational methods for Lyapunov functions

Uses Software

• Matlab
• Sostools

Cites Work

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• On the Construction of Kernel-Based Adaptive Particle Methods in Numerical Flow Simulation
• Mathematical Theories of Distributed Sensor Networks
• Scattered Data Approximation

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