Construction of a finite-time Lyapunov function by meshless collocation

DOI10.3934/DCDSB.2012.17.2387zbMath1254.34072OpenAlexW1966791641MaRDI QIDQ713375

Peter Giesl

Publication date: 29 October 2012

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.2012.17.2387

zbMATH Keywords

error estimatesbasin of attractionradial basis functionsnonautonomous ordinary differential equationfinite-time Lyapunov functionmeshless collocation

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Stability of solutions to ordinary differential equations (34D20) Nonautonomous smooth dynamical systems (37C60)

Related Items (5)

Computation of Lyapunov functions for nonautonomous systems on finite time-intervals by linear programming ⋮ Determination of the area of exponential attraction in one-dimensional finite-time systems using meshless collocation ⋮ Low-rank kernel approximation of Lyapunov functions using neural networks ⋮ Finite-time stability analysis of a class of nonlinear time-varying systems: a numerical algorithm ⋮ Review on computational methods for Lyapunov functions

This page was built for publication: Construction of a finite-time Lyapunov function by meshless collocation