Service interruption on Monday 11 July from 12:30 to 13:00: all the sites of the CCSD (HAL, EpiSciences, SciencesConf, AureHAL) will be inaccessible (network hardware connection).
Skip to Main content Skip to Navigation
Conference papers

Computation of Local ISS Lyapunov Functions Via Linear Programming

Abstract : In this paper, we present a numerical algorithm for computing a local ISS Lyapunov function for systems which are locally input-to-state stable (ISS) on compact subsets of the state space. The algorithm relies on a linear programming problem and computes a continuous, piecewise affine ISS Lyapunov function on a simplicial grid covering the given compact set excluding a small neighborhood of the origin. We show that the ISS Lyapunov function delivered by the algorithm is a viscosity subsolution of a partial differential equation. Index Terms--Nonlinear systems, Local input-to-state stability, Local ISS Lyapunov function, Linear programming, Viscosity subsolution
Document type :
Conference papers
Complete list of metadata

Cited literature [18 references]  Display  Hide  Download
Contributor : Estelle Bouzat Connect in order to contact the contributor
Submitted on : Friday, September 26, 2014 - 10:53:08 AM
Last modification on : Friday, September 17, 2021 - 2:50:09 PM
Long-term archiving on: : Saturday, December 27, 2014 - 10:46:00 AM


Files produced by the author(s)


  • HAL Id : hal-01068706, version 1



Huijuan Li, Robert Baier, Lars Grüne, Sigurđur Freyr Hafstein, Fabian Wirth. Computation of Local ISS Lyapunov Functions Via Linear Programming. MTNS 2014, 2014, Groningen, Netherlands. ⟨hal-01068706⟩



Record views


Files downloads