Existence of piecewise affine Lyapunov functions in two dimensions

DOI10.1016/j.jmaa.2010.05.009zbMath1205.34064OpenAlexW2138457988MaRDI QIDQ986588

Peter Giesl, Sigurður Freyr Hafstein

Publication date: 11 August 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.05.009

zbMATH Keywords

exponentially stable equilibriumpiecewise affine Lyapunov functionstriangulation scheme

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20)

Related Items (6)

Computing continuous and piecewise affine Lyapunov functions for nonlinear systems ⋮ Computation of Lyapunov functions for nonlinear discrete time systems by linear programming ⋮ Construction of Lyapunov functions for nonlinear planar systems by linear programming ⋮ Revised CPA method to compute Lyapunov functions for nonlinear systems ⋮ Sliding modes and Lyapunov functions for differential inclusions by linear programming ⋮ Review on computational methods for Lyapunov functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Construction of global Lyapunov functions using radial basis functions
• A constructive converse Lyapunov theorem on exponential stability
• Lyapunov function construction for ordinary differential equations with linear programming
• Computation of piecewise quadratic Lyapunov functions for hybrid systems
• A constructive converse Lyapunov theorem on asymptotic stability for nonlinear autonomous ordinary differential equations
• Computation of Lyapunov functions for smooth nonlinear systems using convex optimization

This page was built for publication: Existence of piecewise affine Lyapunov functions in two dimensions