Title data
Li, Huijuan ; Grüne, Lars:
Computation of Local ISS Lyapunov Functions for Discretetime Systems Via Linear Programming.
School of Mathematics and Physics, Chinese University of Geosciences (Wuhan); Department of Mathematics, University of Bayreuth
Bayreuth
,
2016
.  29 p.
Official URL:
Project information
Project title: 
Project's official title  Project's id 

MarieCurie Initial Training Network "Sensitivity Analysis for Deterministic Controller Design" (SADCO)  264735SADCO  Fundamental Research Funds for the Central Universities, China University of Geosciences, Wuhan  CUG160603 

Project financing: 
7. Forschungsrahmenprogramm für Forschung, technologische Entwicklung und Demonstration der Europäischen Union

Abstract in another language
This paper presents a numerical algorithm for computing ISS Lyapunov functions for discretetime systems which are inputtostate stable (ISS) on compact subsets of the state space. The algorithm relies on solving a linear optimization problem and delivers a continuous and piecewise affine ISS Lyapunov function on a suitable triangulation covering the given compact set excluding a small neighbourhood of the origin. The objective of the linear optimization problem is to minimize the ISS gain. It is shown that for every ISS system there exist a suitable triangulation such that the proposed algorithm terminates successfully.
Further data
Available Versions of this Item

Computation of Local ISS Lyapunov Functions for Discretetime Systems Via Linear Programming. (deposited 06 Feb 2016 22:00)
[Currently Displayed]