Title data
Li, Huijuan ; Grüne, Lars:
Computation of Local ISS Lyapunov Functions for Discretetime Systems Via Linear Programming.
In: Journal of Mathematical Analysis and Applications.
Vol. 438
(2016)
Issue 2
.
 pp. 701719.
ISSN 10960813
DOI: https://doi.org/10.1016/j.jmaa.2016.01.045
This is the latest version of this item.
Related URLs
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)
 Computation of Local ISS Lyapunov Functions for Discretetime Systems Via Linear Programming. (deposited 07 Mar 2016 10:21) [Currently Displayed]