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
(March 2016)
Issue 2
.
 pp. 701719.
ISSN 10960813
DOI: https://doi.org/10.1016/j.jmaa.2016.01.045
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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.
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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]