Construction of Global Lyapunov Functions Using Radial Basis Functions

By Peter Giesl. 2007

158 citations recorded by the source corpus.

Lyapunov Functions.- Radial Basis Functions.- Construction of Lyapunov Functions.- Global Determination of the Basin of Attraction.- Application of the Method: Examples.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/768cb47dc3ebc3fff0d7184a544b5eebae7a0487

How researchers see this paper

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In Control and Systems Engineering

1. Sigurdur Freyr Hafstein
2. Peter Giesl
3. Holger Wendland
4. Robert Schaback

Citations in the corpus

• Revised CPA method to compute Lyapunov functions for nonlinear systems (2014, methodology): “Giesl [8] proposed a method to construct Lyapunov functions for autonomous systems with an exponentially stable equilibrium by numerically solving a generalized Zubov equation, cf.”
• Kernel techniques: From machine learning to meshless methods (2006, background): “A somewhat more exotic case is the recovery of functions f from orbital derivatives along trajectories X(t) ∈ Rd of a dynamical system (Giesl 2005).”